 and sip a tea while we're coming live. Nice. Hi everyone, this is Gicho. Welcome to my channel and welcome to another live stream. Today, today is March 1st, 2021, how time flies. And this is our drop in math tutoring session, number 71 or so. We're numbering at 71, but who knows where we are. We've been doing this for a while and producing videos for, you know, 15, 16 years now, I guess. So 15 years probably. So we've been at this for a while. We're playing the long game and it's basically, let's just do a little mathematics, open discussion, mainly focus around high school math. And we have done a lot of these. And for the last couple of streams, what we've done is we've been doing some basic algebra, just starting at the ground level to a certain degree at the ground level if you're starting off from a certain branch. We start talking about just negative numbers in general. And then last stream, that's two streams ago, we started talking about negative numbers. And then last stream, we sort of went through adding, subtracting, multiplying and dividing and talk about those basic operations. And if people want to continue on that theme, we can start talking about how to move around an equal sign, extremely important. Dr. Soviet Seven, how are you doing? Welcome to a mathematics live stream. I hope you're doing well. And while we wait for people to drop by, and it's an open discussion, so almost anything goes. And almost anything goes, politics off limits, I guess, just because we have to load this on SensorTube as well. So we don't wanna put something in this full live stream that we're not gonna be able to load on SensorTube. And while we wait for people to roll in, let me give you my intro as to what this is all about. I am on patreon.patreon.com forward slash chico, c-h-y-c-h-o. I don't put anything beyond paywalls, everything's great of comments, share, share, like. So you can follow the work there. And after following the work for a while, if you like what you see, a fantastic way to support this project is through Patreon. And if you hang around long enough, you'll find out that everything's layered on mathematics, almost everything's layered on mathematics, right? And for those of you who have been supporting this work on Patreon, thank you very much for the support gang. It is in large part because of your support that we're able to do this. And I'm sort of doing the calculus and slowly gonna be rolling out more and more of the branches of things that we've talked about over the years as more and more sport comes in. That way I can start focusing on this more on a full-time basis. And we'll see where that goes and how fast we roll all that stuff out. We've already started, right? And we are live streaming on twitch, twitch.tv forward slash chico, ch-y-c-o-l-i-v-e. If you wanna participate in these live streams in the chat, twitch is where you wanna be at. And for those of you who have been supporting this work on twitch, gang, thank you for the support. Thank you for being here. Thank you for the subs. Thank you for the follows. Thank you for the bits. Thank you for the points. Thank you for the conversations. And mods, thank you for taking care of business. I do announce these live streams, 30 minutes before we go live on Parler, Lo, Mys, VK, Gap, and Twitter. And we do have a Discord page, social. You can come to our Twitch channel anytime you want. Type in exclamation mark social and all the links will pop up. And at the bottom there, there's our Discord link where people are sharing a fair bit of information. And we do have a math folder there as well where sometimes people are starting to ask questions of how to do things and whatnot. And there are other folders that we have that are mathematics related, a few of them. And we will not be uploading the audio for this live stream to SoundCloud because we're not recording on a lapel mic and we do have visuals. But for live streams that we don't have any visuals, audios, go to soundcloud.com.forwards.gicho, C-H-Y-C-H-O as a podcast and they should be available in a favorite podcast and platform, including Spotify and iTunes. Slickmick99, how you doing? Not sure if you ever did it, Chicho, or if you can remember, but I have been doing matrices. Yeah, I did. AgentVacters, AgentVacters and AgentValues. Eigen, oh, Eigen, that's right. Oh my God, I forgot about EigenValues. Wow, wow, I haven't done that stuff forever. EigenVacters and EigenValues. And man, they are tough. So it's great to relax and just enjoy the beauty of math here. Awesome. And the matrices are relatively easy, Slickmick. I can't remember EigenValues and EigenVacters, really. This was, we're talking 30 years ago. 30 years ago that I did this stuff. But the matrices and determinants, I ended up actually teaching myself that before I even took the course because I had taken differential equation, applied math, that I needed matrices and determinants and I didn't know it. So I taught all that stuff to myself through a book that I have. And I found it really easy. It took a few chapters of reading to get the feel for it. And then all of a sudden it just went blink, click. And then when I took the course, I got like 96% or something in the course. If you're really struggling with it, let me know. I'll see what I can do to do a preliminary reminder to myself of how to do them. And I can definitely talk about determinants and matrices, EigenValues, Vacters. I can't even remember when they're used, what they are or anything. I would have to do some serious review for that. Felix Bistow, how are you doing? How did you show? Haven't been getting notifications on Twitch for a while. Good to be back. Oh, that's unfortunate. Hopefully Twitch is not doing what SensorTube is doing, which is not sending on notifications to creators that they deem to be disruptive innovation and going against their authority and sharing information that they do not want shared. I hope that is not the case. If it is, join our Discord page and I believe Discord is sending out the notifications. Felix, I got the notification for this while watching your mosh pit story about the big day guy and the girl doing going against the flow on the mosh pit. Cool stuff. It was super cool, man. It was beautiful to witness. I'll never forget that imagery. Never, ever, ever, right? And for those of you that don't know the story, I put out a video of this regarding, it was basically metal music and mosh pit. And the story was me when I was at a Dillinger Escape Plan show, I believe it was Dillinger Escape Plan with animals as leaders opening up and someone else. And the mosh pits are, depending on the mosh pit, but they could be an amazing experience, right? The common, well, the collective mentality of what they're about, I was absolutely brilliant. And at this one mosh pit, I was right on the line with people, and there's multiple styles of mosh pit going around and around and around and around, right? And there's different people that interact with the pit differently, right? And these two people stood out to me at that time. And it was rare to see these two different extreme styles of moshing that you can see. And one of the guys, one of the people interacting with a mosh pit was, because the mosh pit has a rotation to it, right? Sometimes it's way, sometimes that way, sometimes you just switch it up, right? Switch, boom, boom, boom. And the mosh pit was going and this really big tank guy, like he was solid. Like this guy was, if you, everybody knows this type of build of a person that they're like a rock, right? Like a wall. So he didn't go with the pit. He stood there while the current went against him. It was like boom, boom, being hit. And it was loving it because I doubt very much if he ever encounters that kind of contact often because you'd be a fool to try to engage physically with a wall, right? So he was just like, boom, boom, boom, boom. And he, big gigantic smile on his face, right? So he was loving this thing. And right across from basically, sometimes at the same time, sometimes different, sometimes a girl would show up and the guy, so he was on the rotation of the current on this side, right? So he was on the rotation, this is mathematics, right? So here's the pit going like this, right? So this is the wall, this is the rock, this is the tank, right? I'd be standing like literally, I was standing like this far away from the guy. And across from him is, and I think rotation might have been going down, well, I can't remember now, right? And across from him, right? So this guy's just standing there. And across from him is a girl, right? And the girl's not going with the rotation, girl's going against the rotation. So the girl, her, is going this way while the wave is going this way. And she was like, she was a little girl, she couldn't stand there. So she was like fighting her way. She had boots on, combat boots on and stuff, fighting her way upstream. Sometimes she get knocked down, people put their hands up, lift her up and she'd do it again, right? And again, with her, I doubt it, if she experiences something like that outside of the pit, right? It's a way to let out your energy that you need to let out. It's healthy for you. And it was brilliant to see. It was brilliant to see. So that was a story. That was a mosh pit story that I shared. I'm glad you like that, man. That was fun. Lacking of, lack of carrying, slip and make. Are you working on intro level? Matrix, algebra or higher level stuff? Cause I might be able to, awesome. Grant, does anyone in here have $3.5 million laying around for me to open the school? Awesome, I love it. There's a slick mix talking to each other. Awesome. Wow, that's a serious name, XD. I have no idea how to pronounce that. You probably just need to have it explained by someone else. Matrix's and stuff are not really that complicated. You need to exercise and approach it from your right way and you'll find it easy. Yeah, I agree. Oh my God, wasn't that fun? How many people per second did she move out? They weren't running. They're like, and they're like people hitting each other, right, boom. There's a beautiful rhythm to it. And she was like, and sometimes she would do this, right? Sometimes she would get pushed back. The wave would be too strong and she would end up here. And then she'd fight her way, fight her way, push her way through to here. And then obviously she would run out of energy. Like she's exhausted by the time she gets here and the wave carries her, the current carries her back. So it's incredible, incredible. I was very happy to witness that, right? Man, it's been years since I've caught a live stream here. Zephyr Beans gave me, how are you doing? Awesome to be off of Sensor 2 for a change. Yeah, brother, crazy. Teacher question, are publicity stunts inherently bad? No, not necessarily, I don't think so. I don't think so. And gang, we will be uploading this live stream to Sensor 2, to BitShoot, to Rumble. And we don't have enough points yet, but at some point we'll start uploading to Odyssey. And if you're on those platforms, you wanna support this work, you can like, you can share, you can comment, you can subscribe, and if you're on Sensor 2, you can join Sensor 2 membership. And there's a handful of you that are supporting this work on that platform. Thank you very much for the support gang. This collective support is the reason that we're able to do what it is that we are doing. And I thank you very much for that. And let me take these guys down. Yeah, publicity stunts, no, Graham, no. At some point, I contemplated, and I mentioned this before, I contemplated to put myself on a map, the mathematics that I was teaching, the graffiti-style ASMR mathematics, the videos that I was making in 2007, 2008. At some point, I talked to some friends and I mentioned to them, I never did this, I mentioned to them that I might hit them up to give me a hand with these videos because I was gonna bring some dancing girls. And just for those of you that don't know, in 2007, 2008, 2007, I believe, I started uploading math videos on Sensor 2 and Daily Motion and Vimeo. I hit up three platforms at the same time when I was doing this to see which one was the better platform to host my material, to grow the library, right? And Sensor 2 was it and now it's no longer the best location. There's Rumble and BitShoot going on right now and Sensor 2 is still good, but for mathematics, for a lot of other stuff, we can't. And for mathematics, independent content, independent educators are now relegated to being shadow banned in large part, right? So Sensor 2 has even hit the education platform where independent educators are no longer, it's no longer organic, right? Sensor 2 decides who they're gonna promote and they're gonna promote Khan Academy and this person and that person and that person. Any institution centralized education center that is promoting the central powers ideology, right? Which I've not. But at some point, because I wanted to just try different things was I talked to some friends and I asked them if I was gonna bring them in and I mentioned this to them that basically I would set up a tripod and find walls in the cities and do mathematics on walls graffiti style with really big truck and I wanted them to start doing can-can girl dancing, come across behind us, right? That's a public stunt that's promoting mathematics. I'd be 100% into that, right? And again, don't forget, free a sonage, free a sonage, free a sonage. Julian Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capital's power to humanity. For more information, see wikileaks.org or check out our Julian Assange and Wikileaks playlist on Sensor 2 because that is one thing I will not be censoring from Sensor 2. Graham, hmm, that's an interesting perspective. Yeah, it was, it is what it is, right? And it's not a, it's not a publicity stunt if you enjoy what it is that you're doing, right? Like I wouldn't do, if I was gonna do publicity stunt, I wouldn't do something silly that I don't get a kick out of it, right? It would have to be something authentic as far as I'm concerned, but I'm totally okay with that. Why not? It is, we still have to compete as independent creators with giants like these huge multinational conglomerates, right? That monopolize information. So, you know, and if you believe you can help people out, why not? That's the thing, I just wonder how to get noticed. And by the way, Graham is an educator and he believes in decentralized education and he's a very good educator, okay? And he's trying to build an audience, build content to help people learn whatever it is they wanna help, right? And right now is a difficult thing to do. However, this is something, a transitional period, I believe. Okay, because SensorTube, seriously, they're not allowing information to grow organically anymore. That's a given. They first did this with news, current events and stuff like this and one of the other places they start hitting it was education, which was to me, which was insane, right? Which goes to show that they don't want the citizens of nations to become educated, to become independent free-thinking human beings because if people became free-thinking human beings they wouldn't consume the garbage that they're producing, right? MC Mike, how are you doing? Morning, everyone. I love the math live streams. Today I'm working on a discrete math, counting, nice differential equations and vector multivariant calculus. Oh, fun, vector calculus, I found fun. And vector calculus or vector, that would say just vectors. Let's see what pens we have. Might be time for a new pens. Graham, I really think hard about everything and I just feel like I'm young enough and driven enough for a high risk, high reward play. The more I think about it, the more I'm interested in shooting for the moon. But shoot for the moon, Graham, but don't burn your bridges. Okay, shoot for the moon, but don't burn your bridges. If you're shooting for the moon, make sure there's, if things don't work out the right way, make sure that doesn't prevent you from doing anything else, okay? But persistence is the key, man. And don't worry about if you're not growing as fast as some people, like seriously, Graham, rather, when I was producing my work, I was producing like really phenomenal work. Like in terms of teaching mathematics, the language of mathematics series that I put out with the chalk graffiti doing urban style, cutting it to hip hop music, cutting it to different music, doing editing, having pop up, like no one was producing anything like that. Like no one, people would check out my videos on censor to be going, damn, why do you only have like 3000 followers? I mean, right now we're sitting at like 33,000 or something or 30,000, let's say, right? Even now, people are like, damn, why you only have 30,000? Well, I'm only at 30,000 because censor to, there's no way they're gonna promote me, right? Back then as well, they weren't really promoting my mathematics. The content that I created, there was nothing else like it, absolutely nothing else like it. And it was fantastic for anyone who wanted to learn mathematics. The people who saw my work, they were blown away. Sometimes I run into people in my town and would go, oh my God, you're Cheecho, you produced those mass stuff, so good, so, right? And then people check on my channel, they're like, you got 3000 followers, that's it? Like what the hell? I was like, it is what it is, man. I'm doing this for the love of it that'll kick up at some point. I'm in it for the long game, right? Graham, be in it for the long game. Forget about these soundbites, these technocrats are dragging people into trying to make people convince them that that's the mindset, they need the big lift. It's a slow progression, it's gotta be a lifestyle change for you. It has to be a lifestyle change and lifestyle changes seldom happen overnight. And if they happen overnight, something's breaking, right? And it's okay to break things to change your lifestyle overnight, but it's a pretty dangerous game that you're gonna be playing if you're gonna burn bridges without really prepping the platforms that you're gonna be going into, right? MC Mike, it is, it's very cool, very cool indeed, the vectors. Elder God, Cheecho running around in Vancouver, drawing on walls, yeah. Yeah, it was awesome. Sometimes I'd be out, you know, and I would have to stake out locations first, right? Like sometimes I'd go staking out, sometimes I would just go for long walks for a whole day. If I see a wall, I hit it up and then I thought I could do. Sometimes I wouldn't hit any walls, I was like, ah, I didn't hit anything today. I had my stuff prepped. So one time I wanted to get things on a tree. Graham, Cheecho, I don't think I'm gonna be burning any bridges along the way, really. I just feel in my gut that now is the time to try it out, Graham. Yeah, just try it out. Just have a safety net, really. Safety net is underrated because if you're gonna go full-on, the odds are you haven't done the calculations for how everything's gonna play out and you can't, right? You just, as you know, the best way to get something done is to do it. The best way to learn is to do, right? So if you feel it's the best time to try it, do it, man. If you want, if you're gonna try publicity stunt, try publicity stunt, whatever, if your passion, your heart is in it, you can't really be that wrong. Unless, you know, I don't wanna steer you in the wrong direction, but all I know is this is the way I've done it. And it was difficult. Dude, I had to, like for me, just to let you know, I went full load without the finances because, like, censored to wasn't generating money at the time when I was doing this stuff. People were asking me, how much time have you spent on this? I go, oh, God, hundreds of hours. Hundreds upon hundreds of hours of work. They're like, how much are you getting money? I go, I made zilch, zero. The Patreon was around that. Every now and then I get a little donation coming in through PayPal or something, but it wasn't. I wasn't doing this for the money, but I was doing it because it was a calling, if you wanna think about it that way. Matt Gerr, how are you doing? Hello, hello, welcome to Matt Live Stream. We're sort of talking about education to a certain degree and how to deal with passions, right? Graham, I tell my students to pursue their dreams. I want to be willing to demonstrate that. I really believe it. I'm confident in my safety net. I'm done deal, yeah. And you can pursue your dreams, for sure, for sure. And that's what I did, right? I wanted to be, and it wasn't a dream, really. I don't know if it was a dream, was it a dream? It's just, it wasn't, yeah, for me, it wasn't a dream. It's just something I needed to do, something I had to do. There was a platform, technology was there, even though it was rough, right? Like YouTube came online in 2005 and I created my account then, right? The first video, I had to learn how to edit. I had to learn how to shoot video. The first time I ever went on video to try to put something out was my first language of mathematics, language of mathematics video number one. And it's a rough one. I'm sitting there going, what do I do? Talk it to a camera? Like, it was difficult, right? But for me, it wasn't a dream to do that. It was a means to teach mathematics and to empower people. Initially, by the way, Graham, and I'm not sure if I mentioned this before, but people used to ask me, what is it that you wanna do, Chicho? And I said, man, I'm gonna build an army of mathematicians and take over the world, literally. This is what I, because people, after a while, people didn't understand what I was doing. I'm like, man, I'm making math videos. I'm teaching math online. And people was like, oh, what's the end goal? What's the end goal? I'm like, the end goal, I'm doing the end goal. I'm teaching mathematics and trying to empower people, right? Because I think centralized education is garbage, is destroying our society, and it's sort of a self-preservation type. So I would go off on this and I've talked about this, right? And then people still didn't get it. So I simplified it for them. Chicho, what are you trying to do? I'm gonna build an army of mathematicians and take over the world. And then I would laugh. Ha, ha, ha, ha, ha, ha. And by the way, I still mean to do that, right? Graham, I may have said that before too. I think so. Have you, Graham? Have you? Awesome. I'll join that cause. MC Mike says, awesome, awesome, cool. The same thing we do every day. Try to take over the world. Ah, that's the pinky in the brain. Awesome, pinky in the brain, by the way. Pinky in the brain is fantastic. Fantastic. The same thing we do every day. Try to take over the world. Awesome, awesome. My kids don't get the reference, but it makes me laugh. Yeah, me too. And I'm amazed they don't get the reference. This generation right now, actually every generation, pinky in the brain should be, in everybody's psyche, because it is timeless, really. Pinky in the brain is timeless. So is, well, there's a few that are timeless. There are a few that are timeless. There are a few that are timeless. But pinky in the brain is definitely timeless. My kids don't get the reference, but it makes me laugh. Oh man, I wish I was flying the wall in your classroom when you say it. I'd be laughing so hard. So hard. What about the mathematics game? What about the mathematics? Are we gonna do mathematics? And I got, this is like, I got one more of these squares. This is a square this big that I make. My chocolate chip cookies. Cheeto chocolate chip cookies. This is, let's see if I'll focus. Oh, is it gonna do it, is it gonna do it, is it gonna do it, is it gonna do it? Poor camera, doesn't know what this is. Oh, oh, oh, oh, oh, come on, come on, you can do it. Maybe I think in what it needs is me holding the sucker up. This is the last bit of chocolate chip cookies. Is it gonna get at this close up? I don't think so. There it is. Whole wheat flour with coconut oil. Chocolate chips. Flour with coconut oil. Chocolate chips. Fig. Coconut flakes. And organic, organic, organic cane sugar and honey. Very yummy, very yummy. You sent me a little something in the score? Okay, grab. Awesome. I'll look it up after the stream or later on today. I have some students I have to talk to today. Should we talk about the equal sign? Let's talk about the equal sign, okay? Because two streams ago, we talked about how to deal with positive and negative numbers. Last math stream, we talked about adding, subtracting, multiplying and dividing. Let's take that into the equal sign, right? Because someone came up a couple of streams ago, math streams ago, and asked us to cover some basic algebra. And maybe they couldn't make it on this live stream. So let's cover that because once you know how to move around an equal sign, then you can almost, you know, do anything you want. Really, you just build on that. That's where the core base of algebra begins, right? Honey and coconut, so good. Let's see how this is. Oh yeah, that's coming out nice. We do it in red, okay. Now, the thing with the equal sign is this, right? I meet a lot of people that say, you know, they want equality in the world. They want sustainability in the world. They believe the world is unjust. They talk about a lot of social issues, a lot of economic issues, a lot of political issues, and all that jazz, right? But they don't really understand that what they're talking about, what the base of what it is they're talking about is mathematics, because as soon as they start talking about equality and sustainability and all that jazz, they're talking about the equal sign, right? They're talking about this symbol right here. They're saying they want equality. This side equal this side. They want sustainability. This side equals this side, right? That's what they're talking about. Sustainability means what you're taking out of the earth, you're putting at least as much back into the earth, right? Sustaining, right? They're talking about maintaining a budget. They're talking about the equal sign, right? They want to be economically independent. They're talking about the equal sign. How much you earn should be at least, right? Equivalent to how much you spend. As soon as you start spending more than you earn, you're in the negative, you're not financially independent. You're in debt, right? So anyone talking about financial independence, they're really talking about the equal sign. Anyone talking about the environment, sustainability, they're talking about the equal sign. Anyone that's talking about social justice is really supposed to be talking about the equal sign. But unfortunately what I find is, a lot of people are illiterate in the language of mathematics. So everything that they're talking about on this level has a limit to where they can take it because they don't understand that you need to quantify these things to really have that stuff in your life, right? Now for us in the last couple of streams, math streams, anyway, we talked about how to deal with addition, subtraction, multiplication, and division. Once we learn how to do these four simple operations and with these four simple operations, you can do almost anything you want in mathematics, right? At least in the real world, you might maybe not theoretical mathematics, but anything that you want to apply to your life. As long as you know how to ask, subtract, multiply, and divide, and move around the equal sign, right? As long as you know how to do this, you can use mathematics to do almost anything you want. So let me explain to you what it is when we say we want to move around the equal sign. So check this out. Let's say we have an expression or an equation that says x is equal to five, right? That's intuitive. That basically says whatever your x is, x is equal to five, okay, and the units here are irrelevant. When we're talking about mathematics, just the language of mathematics, the syntax of the language of mathematics, units do not matter. This could be x, x is, how many comic books I'm going to buy this week is equal to five comic books. So comic books be my units, right? Comic books. X could be how many cookies I've eaten, I ate yesterday and probably more than five, but let's say five, I'm down to two, right? I made two trades. So five could be cookies. Okay. Five could be a comic book that I'm buying costs five dollars. So that could be money. It could be time in seconds, right? And time couldn't be, it's sort of a generic unit. You would have to specify, is it seconds? Is it minutes? Is it hours? Is it years, right? And different places where you apply your mathematics may use different units more often than others, right? So for example, if you're in finances, you're probably using, or you're trying to do personal finance economics, you're probably using years, not hours. You don't look at your investments on an hourly basis. If you're looking at them on an hourly basis, you're gambling, right? Minutes, gambling. Seconds, gambling, right? So the units really define where you are, where you're applying them, right? But when you're trying to learn mathematics, you don't care about the units, right? The units come into play when you're delving, when you're taking mathematics and using it in a system, right? Is it personal finance? Is it physics? Is it electrodynamics? Is it biology? Is it food? Is it shopping? Is it personal finance, investing, whatever it is, right? So consider that when you're learning mathematics, forget about trying to apply the mathematics right away if you don't know how to syntax works, how the language of mathematics works. First, learn how the language of mathematics works, right? And it's just basically intuitive rules. And then you're gonna apply the mathematics in different places, right? So for example, let's assume we didn't have x equals five, let's assume we had this, x plus two is equal to five, right? So we take this guy out. So we say x plus two is equal to five. Well, for us, when we're trying to do mathematics, if we have an equal sign and the equal sign kicks us up into another realm, right? All of a sudden, the equal sign allows us to look at different systems and try to understand different systems, right? That's the power of the equal sign. The equal sign gives us solutions to problems, right? Or questions that we have. So when you're dealing with an equal sign, if you're trying to solve something, right? Solve for x and the x would be your unknown, okay? My favorite question always used to be exponential. Exponentials graphing the growth of bacteria. So yeah, I don't know why, but the correlation between inputs and outputs and systems always satisfied me. Yeah, exponentials is amazing. And it's no longer only the best example is no longer. Well, the best example is still bacteria growth or exponential decay, radioactive decay. It's also in economics right now or our current economic system because there's a lot of exponential growths going on. We've talked about this stuff, right? So whenever you're trying to solve an equation, right? Because this is solving for x, solving equation. The way you should think about it is your x is your unknown, right? Let's do this in blue. Let's do this in blue. Think of x is equal to unknown, right? So your unknown is what you're trying to find, right? x marks the spot. So when you're trying to solve for x, when you're trying to solve for an equation, you're trying to get the variable by itself, right? Solve for x means, means get the variable by itself, right? That's what that means. Solve for x means get the variable by itself. And by the way, some people have a hard time understanding what variable means, okay? Variable means find what the unknown is that can vary, right? Variable is something that can vary. That's it. And in mathematics, usually, preliminary mathematics anyway, we use letters of the alphabet for the unknown, for the variable. In this case, our variable is x, right? So solve for x means get the variable or get x by itself. That's what solving the equation means, right? Get the variable by itself or get a specific variable by itself, right? So what do we need to do? We need to undo what's being done to it. So undo, how do you do this? How? How do you do this? How do you do this? Do you do this? The answer? Undo what's being done to x or the variable, right? So let's stay consistent. So undo what's being done to the variable, the variable. In this case, for us, it's x. So undo what's being done to the variable. And here is the thing. Here's a beautiful thing about mathematics. Mathematics is very unique in our lives, really, because for almost, almost everything that you can do in math, you can undo it in math, right? So in mathematics, almost always, whatever you're looking at has an opposite, right? So the opposite of addition is subtraction. The opposite of multiplication is division, right? Those are the four that we're talking about right now. The opposite of exponential powers where things are growing are radicals or roots, which are really the denominator and exponential, but we'll get into that stuff, right? And we have multiple times through the math videos, hundreds of math videos we've created on SensorTube. So for us to get x by itself, we have to undo what's being done to the x to get it by itself, right? And there's an order of operations here, right? Don't forget the order of operations. Don't, let's put a little note, note, note, note. Don't forget, oops, forget the order of operations. And what are we talking about with the order of operations? Bed mass or pet mass, depending on where you are, right? We're talking about bed mass, bed mass, bed mass. Mass, right? Brackets, exponents, division, multiplication, addition, subtraction, right? Now, bed mass, if you're simplifying expressions, which we just, we learned how to add, subtract, multiply, and divide, we didn't go into simplifying. We just went into straight into solving equations. Simplifying won't make sense. We'll come back to it, okay? But let's deal with the equal side right now. So if you're simplifying expressions, you go this way. If you're solving for equations, you go the other way, solving, right? You take your addition and subtraction first, and then multiplication, division, and then exponents, and then whatever is in the brackets, okay? In our case, we have this thing here, right? We want to solve for x and get x by itself. Well, what's being done to the x? We're adding to x, right? So to get x by itself, we have to subtract two from this side, right? So if we have x plus two is equal to five, to get rid of this two, we're gonna subtract two, right? Now, what does the equal sign mean? The equal sign means this. It means it's a teeter-totter, and you always have to keep it equal, balanced, and if you do something on one side, you gotta do it to the other side. That's what the equal sign means. It means this side is equal to this side. This side has to remain equal to this side. So if there's anything you're doing to this side, you have to do it to the other side, right? So for us, if we're subtracting two from this side, then we have to subtract two from this side. We have no choice. We have to keep the teeter-totter balanced. If we're adding something here, then we need to add something on this side, right? How do I put this up here? Oh my goodness, it's gonna fall. Here, we'll do it this way. Here's teeter-totter. If I add a pen on this side, I gotta add an equal pen on this side, right? It's a different color. So that's not gonna work. Maybe the color weights are different. Two reds, they have to balance. If I don't, if I have my teeter-totter and if I add a pen on this side, then this side is gonna go down. This side is gonna go up. That's not the definition of an equal sign. Definition of an equal sign says, no, if you're starting off with two things that are equal, right, two sides that are equal, if you add something on this side, you gotta add it to this side. That's the concept, right? So if we subtract two from this side, we gotta subtract two from that side. And what do we do? We go x plus two minus two. Well, positive two and negative two, right? Two minus two, they kill each other. Boink, boink. So what do we have left on this side? We just have x left on this side. Five minus two is three, three. When we get to the end, we got our answer, x equals three. We just solved four x. We solved for our unknown. We isolated the variable. Get the variable by itself. We isolated the variable. Cancellation, law of a group. Cancellation, law of a group. Slick, make my favorite question. Why else? Does that make sense? So let's expand on this. Let's look at more complicated equations or do a couple of more samples of this, right? Then we'll talk. We'll incorporate bed mass in there as well. Because bed mass, this thing here, when you try to simplify, means simplify one side if you can and simplify the other side if you can before you start moving things around or isolating the variable. And by the way, gang, thank you for the follows. Appreciate them. I'm sorry if I don't recognize them or announce them right away, just because I don't wanna lose a train of thought here, right? So let's do more complicated stuff, okay? And if you wanna take notes, by the way, gang, all you gotta do is just take screenshots of this, right? And then you can just have that as a note. So let's do this. We solved for x when it's x plus two is equal to five. So the question is, and this is what the question will be, solve for x. Solve for x. Now I've seen a lot of schools try to make it more exciting for kids to do mathematics and what they do is change the x to y, solve for y or solve for s or solve for w or solve for, I think that's fine and dandy because they're trying to get the point across that variable could be any letter, right? For me, it's ridiculous to try to change the letters to try to make it more exciting for kids to be able to solve equations or do algebra. Doesn't even have to be a letter. It doesn't even have to be a letter, right? Solve for a triangle, solve for the triangle, right? Solve for the triangle, solve for the dude, right? Get the dude by itself, whatever it is, right? For me, it's better to add the variation in the questions based on the difficulty of the question instead of the phrasing of the question. So I like working with x because to me, x marks the spot, right? So let's do this one. x plus seven is equal to four, right? So when we get x by itself, so undo what's being done to the x, what's being done to the x is seven is being added to the x so you subtract seven from here, you subtract seven up from here, seven kills seven, line up the equal sign, on this side you have x by itself, four minus seven is negative three, right? Nice, Putin roaster, x equals negative three. I always like the smiley face, solve for the smiley face, solve for the happy dude, right? Now for me, I've mentioned this before a few times, mathematicians are lazy, right? Especially when they're doing mathematics. For me, I like things visual and mathematicians are generally very visual, right? So when I write down x plus seven is equal to four, instead of writing minus seven on this side I think about the adding and subtracting as movements. So I grab a positive seven, bring it over and whenever you jump over an equal sign, the sign changes, right? So positive seven, when it goes over to the other side becomes a negative seven. So positive seven has moved, the only thing we have on this side is x and four minus seven is negative three. Right? Here, here's another one. x minus four is equal to three. What? We're gonna get x by itself. This is negative four, Borno for cities, series, ices, ices, ices. Borno, how are you doing? Welcome to another live stream. So you can think about it two ways. You can go plus four on this side, plus four on this side, so x is equal to seven or you can think about it this way. Here, we'll do the same thing here. x minus four is equal to three. I wanna move the four plus four changes size. Left on this side is x and this is seven. Up to you, which one you guys wanna use? I like doing this, okay? Easy, easy. Let's do more variations. The question is still solved for x, right? How about we do this? Are we on number four? I'll say number four. x plus three minus four is equal to seven plus two. Well, we have the equal sign here. We've got things on this side and things on that side. Now, before you start solving for variable, solving for x, isolating a variable, you did it that fast? Yeah, oh, it does too. I have to think about it. Do you stream on any other platform? I don't stream on any other platform, but I upload the videos to SensorTube, most of the videos to SensorTube, less and less recently, SensorTube, BitShoot and Rumble, everything goes to. So BitShoot and Rumble, I upload everything and we upload audios when we don't have visuals to SoundCloud's podcast. Ronnie, how are you doing? Ronnie90, hello, hello. So when you're trying to solve for x, isolate the variable, I always love math theory, nice, me too. If you're trying to get x by itself, instead of, I mean, theoretically, you could do this. What's being done to the x here? Well, three is being added to x and then you're subtracting four. So you could do it in a weird way, not a weird way, but a long way and go, okay, I'm gonna grab the negative four, bring it over, it becomes positive four. I'm gonna grab the positive three, bring it over, it becomes negative three because we're jumping over the equal sign, right? What we have left on this side is just x and this we just end up doing. Seven plus two is nine, plus four is 13, minus three is 10. Put in the roaster, got it, 10, right? Now, that's extra work, right? Grab everything, grab each one individually and bring them over, right? Well, how about doing it this way? And it's faster, x plus three minus four, seven plus two, same question, right? And not only is it faster, it creates less errors, right? So whenever you're trying to solve for an equation, equal sign, line up your equal sign. Really, mathematics is very visual. You wanna keep everything tight, symmetrical. Keep it clean, do your work properly. I've said this before, right? If you're gonna write the word or sentence, I like apples, right? I like apples, right? Period, or if you wanna amplify it, I like apples, right? That's in a sentence, my scrawny type of writing, right? Hopefully you can read that. You don't go and say, I like apples. You don't write it like that. You could try to decipher it that way. It could be a game, here's a puzzle. What did we say, right? But the point of mathematics is not to make things more difficult, right? It's to solve equations, simplify things. The point of languages is to get your point across, right? You could use languages to create complicated puzzles, but you wanna get your idea across, right? Mano, mano, mano steel, 99, hello, hello. Twist, how are you doing? How are you doing today, doing good? I popped a little cookie, right? So, keep that in mind. Keep your work tight. That's one of the things I try to emphasize with a lot of my students, right? So if we're trying to isolate the X, instead of moving these guys individually over first, what we're gonna do is simplify each side as much as we can first. That's where bed mass kicks in, right? So bed mass, if you're doing this, mass, if you're doing this, when you're simplifying, you go this way. And if you're gonna simplify each side first, do brackets first. Do we have any brackets? No, exponents? No, division? No, multiplication? No, addition and subtraction? Yes, we do, because multiplication and division have the same weight, addition and subtraction have the same weight. Doesn't make a difference which way you do them, okay? So we're gonna do our addition and subtraction first. Well, over here, let's simplify this. Well, let's do this one first. Let's step before this one, right? Seven plus two is nine, cool. Three, this is positive three. Remember in the mantra, sine in front of the number always goes with the number. So this isn't just a regular three. It's a positive three. It's not negative, and this isn't just a four. It's a negative four, right? So positive three minus four, right? Is negative one, so we got x minus one, right? We added one more level of doing the work to simplify it one level. For us to be able to move this thing and only move one thing, right? We're keeping track of less things. We're compartmentalizing the work, right? On this side now, we move the negative one over, becomes positive one, we have x left, and nine plus one is 10, right? And this part is this way. We're doing solving. So when you're solving, you deal with the subtraction and addition first and then multiplication and division and then exponents and then brackets. Well, in here, we had the addition subtraction. We took care of that. We ended up with the answer. We got none of the other ones. We're done, right? Let's do more of these. We're gonna build it up all the way to multiplying, dividing, and I'm not gonna introduce any exponents yet, but we'll get into the brackets. Now, take a look. What if we have more complicated? I have a question for you. For sure, Twist, what's the question before we're gonna whiteboard? We've got space here, let's do it. If it's math related, if it's not post your question and I'll do math and try to answer the question, I'm gonna have a sip of tea while we wait for the question. Let's see what it's about. What I'm eating? Cookies. I'm gonna pop a cookie while we wait. One more cookie. Feed your brain. How would you explain it to someone who solved that for x equals two? What do you mean? I had this issue while tutoring my niece and I couldn't explain it to her well enough for her to grasp it in what way to a step. So if I give you anything and she gets the wrong answer and puts down x equals two or the answer is x equals two and you have to explain to them what that means. Yeah, let's see. Essentially you want your right-hand side equals left-hand side. Yeah, right-hand side equals left-hand side. So you had x plus three. Okay, sure. Let me write that down. x plus three minus four. So we have x plus three minus four is equal to seven plus two. x plus three minus four is equal to seven plus two. So the way we did it when x minus one is equal to nine, grab the one over plus one. So x is equal to 10. So she ends up doing it and she gets x is equal to two. Your niece probably does not understand the x. So for this, she would do the work and get x equals two. And you want to explain to her why that's wrong? Roddy says this, I never liked the whole left-hand side, right-hand side. The position of those numbers can be anywhere and the x would be solved fine. Sure, but every line when you're solving for something, every line is equivalent to the previous line, right? So this line and this line are the same line and the same line. So all of these are the same, right? I just woke up, but I see where she messed up. She did on both sides. Yeah, I was, I'm assuming where she messed up was when she did this, she would have added this, thought that this was seven, right? So she would have done this and then the seven would have killed the seven. So x plus seven is equal to seven plus two. She would have misread this thing as a negative, put a seven and then brought this guy over minus seven and then you get seven kills seven. So you get two if she did that, right? And that's the one thing. It's extremely important. It's extremely important to be able to see students work as someone as an educator, right? That's one of the reasons centralized education is so horrendous because a lot of it has to do with what do you call it? Yes and no or filling the blanks or what do you call it? Multiple choice questions, right? So the only feedback a student can ever get is wrong or right, right? And the educator in general is not gonna be looking at the students work because all they do is they hand in their multiple choice little sheet thing and they scan, right? So there is no constructive feedback to students which is just one of the reasons centralized education is just so horrendous, okay? I haven't done simple math in years. My last math class was calculus three so she threw me for them, yeah. Teaching, again, trying to teach simple mathematics, just the basics of mathematics up is a difficult thing to do, okay? Sometimes more difficult than the more complicated stuff because the more complicated stuff the person you're talking to has a rudimentary understanding of the language of mathematics. When you're trying to build it from the base up there is no conceptual understanding of the language of mathematics so it becomes difficult. It requires patience, right? I had to look at it a little closer, yeah. I hope that works, right? So if we're gonna get into more complicated stuff, right? Here, x minus three plus two minus one plus four is equal to seven plus seven minus two, right? You could do any adding and subtracting in here, right? What do we have, four, five? This is number six. Line up your equal sign, combine like terms here. Seven plus seven is 14, minus two is 12, negative three. And you can, what you can do is combine things. We've got 10 already, I haven't done it yet. We got 10 again now. So what you can do is instead of doing all the operations in one go, if you notice the pattern, you got 14, oh, somebody's wrong. If you notice a pattern, you can start eliminating things, simplifying things. So take a look at this thing. You got negative three and negative one. So minus three and minus one, you can think of as negative three and negative one. Well, negative three minus one is negative four plus four is zero. The negative four and four kill each other, right? So this and this are gone. You got a two left, right? Now you could write this here or you could have done the simplification here and did brought it over here, right? I'm just gonna do it over here instead of doing it here. So you see how it works instead of combining multiple operations in one shot, right? Okay. So we got X plus two here and then bring that over. You get this, you get X equals 10 and that's your answer, right? Student, why do numbers kill each other? They're a war. They cancel each other out. I know, I say kill. Maybe I should be saying cancel, but shorter work, less letters when we have null. And by the way, this may touch on Graham's question. What was it called? Public something. But I do almost anything to teach kids mathematics, right? And I found where you say negative three and negative one kill four. When you say they kill each other, kids tend to like that more than cancel each other out. So I have students that sometimes they're not really paying attention and they're not into it. They like it when we start killing numbers. So they pay attention and learn the process. Even though the word killing is not the best thing to use, it's a means to teach mathematics. I'm okay with that. Okay. So that's how we deal with adding and subtracting, right? Let's look at multiplication. Let's do something like this. Let's do two X is equal to eight, right? Roast of Pune, as soon as I wrote it down, I knew you knew what that was, right? So whenever you have a number in front of a variable, a number in front of an X, right? That means multiplication. So this really means, this really means two times X, but we're not gonna, mathematicians are lazy. We're not gonna include that, right? So, so is the police. We should tell the students getting an A means you killed the goers, maybe. Well, we do have something like that. You know, when in sports you do, they say, oh, he killed it, or they killed it, right? Or musicians, oh man, they went on stage, they're set, just, they just killed it, right? It is used. Uh-huh. I would be the kind of kid who pay more attention, kind of kid who pay more attention if you kill numbers, yeah. So equals is the police, equality. Hi, I'm Chico, by the way. Das, 89, how are you doing? So over here, this is multiplication, right? Two times X is equal to eight. What's the opposite of multiplication? What's the opposite of multiplication? Division. So to get X by itself, right? Divide this side by two and the equal sign says if you do something on one side, you got to do it to the other side. You divide this side by two. Line up your equal sign, two kills two. You got X on this side, eight divided by two is four, right? So what did we do? We didn't have any addition, subtraction to deal with. So we just went into multiplication, division, and dealt with that, right? Easy, peasy. Okay, let's do some more examples. That was number seven, let's do number eight. Good, thank you. Cleaning the inside of my gaming console while watching you. How are you doing? Good, thank you. Eating cookies, doing mathematics, life is sweet. And cleaning the console, which console? Which console are you having cleaning the console for ever? Man, I think last time I cleaned the console was probably a Sega system or something. Or NES, NES probably, NES. Or N64, N64 is probably last time I cleaned the console. N64 for sure, N64, right? So what if we had the following, right? X over two is equal to eight, right? Well, this means division, right? X divided by two is equal to eight. What's the opposite of division? Gaming computer, not my console. Oh, gaming computer, okay. My computer I cleaned like last year. Man, was it ever dirty? Yikes, I loaded up pictures. I would not try that, afraid of bronking it. X equals 16, did you get it? Yeah, computer, you need to clean every now and then. So the opposite of division is multiplication. So we multiply this side by two, equal sign, line it up. And if you do something on one side, you gotta do it to the other side. Eight times two is 16, Putin roaster got it. And when you're multiplying fractions, right? X over two times two, that's just two over one. Anything from the top can kill anything from the bottom. Two kills two, you got X left over, right? The other way you can think about this is this. X over two times two, this equals two X over two and the twos kill each other, right? But I'm just killing the fractions, right? Breaking it, sorry, I'm French. So I sometimes make English with no worries. Bronking it, I want bronking it. That's a good word for breaking it too, right? So that makes sense, right? Easy? Well, let's do one that's a little bit more complicated. What if we had two X plus five is equal to eight? Well, are we solving or simplifying? Do we have any simplifying to do on this side? We can't combine two X and five, it just doesn't work, right? This doesn't have an X and this has a variable. 1.5 you got? It is 1.5, here's an eight, right? So if we're solving, there's no simplifying to do here. If we're solving, we do subtraction and addition first. We can't add or subtract, there's nothing to add and subtract here and then we deal, oh, sorry, if we're solving, we got an addition here we've got to deal with, right? So simplifying, we're going this way, solve or go this way. So we're going to grab this guy and bring it over. So we're dealing with subtraction and addition first. This becomes minus five. Eight minus five is three. Over here, we've got two X. Now what we've got to do is deal with the multiplication division and we've got a multiplication. So divide by two, divide by two. So X is equal to three over two, which is 1.5 as Putnam Roaster says, right? Let's do a couple more, which were more complicated. Okay? That was number nine, let's do number 10. Number 10. Let's go two X plus five minus three plus four X is equal to eight plus two. Right? Whoa. Much longer. I sort of start off simple and I kick things up to harders first. Mine CC, how were you doing? Welcome to our live stream. Put next, did you figure it out yet? So do the simplifying first. Either side, four over three, cool. You're a double checker. Make sure you're making sure we do it right. So you're going to simplify each side first. Brackets, so you're going to simplify this side, simplify that side, line up your equals side. Brackets, exponents, no. We've got division multiplication, no. We've got addition subtractions, yep. Eight plus two is 10. And then we got two X plus four X. Combine your like terms, right? Two X plus four X is six X. And then you got positive five minus three. That becomes positive two, right? So we took care of simplifying each side first. There's nothing else to simplify here, nothing to simplify here. We go into solving, we go this way. Take care of addition subtraction first. Well, there's an addition here. Let's move it over, becomes minus. Eight minus two is eight. Oh, sorry, 10 minus two is eight. And we've got six X left here. No more adding subtracting. Then we've got division multiplication. Divide this side by six, divide this side by six. So X is equal to eight over six, but you can simplify that because two goes into both of them. So let me write down eight over six and let's do this over here. We've done a lot of videos on these. I haven't done it in this live stream, in this order first because I wanted to get into the equal sign right away. Okay, but do this. Eight, break down eight into prime factors. Two times four, two times two. Six, break down six into prime factors. Two times three. So this equation is really, eight over six is really two times two times two divided by two times three. And anything divided by itself, they kill each other. So this is a multiplication between all these. So two kills two, nothing else simplifies. So two times two is four. And then the bottom, you got a three. So it's four over three. That's the long way of doing that, right? Once you do two or three of these, then you know the rest, the flows it is, right? So four over three, we've got double confirmation. Mine C. So let's do more complicated. Let's add a bracket in there. Let's add a bracket in there. Two, three X minus one is equal to four plus seven. Okay, so what are we gonna do? We're gonna simplify first, right? Because we can. We can simplify this side. We can simplify this side, right? So we're gonna deal with brackets first. Do we have brackets? Yes, we do. What does a number in front of brackets mean? It means the number in front multiplies in it. Did you do it already? Speedy Gonzales. So the two multiplies here and multiplies here. Line up your equal side. So two times three X is six X. Two times negative one is negative two. So we have no more brackets, no brackets there. Exponents, no division multiplication, no. We've got addition, subtraction, yep. Four plus seven is 11. Cool. We got nothing else, no simplifying to do. So we're gonna solve for it. We're gonna go into solving. So we finished the simplifying. We came all the way to here, and now we're gonna go into solving, right? So we came to simplifying, and now we're going into solving, okay? Solving, we're gonna deal with addition, subtraction. Oh, we got a subtraction. Bring it over becomes addition. So you got 13 on this side. On this side, you got six X. Oh, Putin next. Did you do? Oh, you did it wrong at first. Oh, that's where speed gets you. Speed kills you. Right? So now we're gonna get X by itself. This is six times X. So divide by six is 13 over six, and this doesn't simplify anymore, right? Speed kills. Okay, easy, easy, right? Undo what's being done to the X. What's being done to the X? It's being multiplied by three. One is being subtracted while the whole thing is being multiplied by two. Well, if we're gonna undo what's being done to it, we have to go with solving, right? Or sorry, we did simplifying first, and then we're down to here. Undo what's being done, you do the solving, you get the chess, right? Mind see, memorize multiplication table is the most difficult thing. Is it? Multiplication table should be easy to memorize because there's a pattern to it. You don't have to know the whole table, you just have to know half the table, and that half the table, you just generate. You generate enough, you know the words. Like, did you have to memorize the alphabet? Yeah, at some point we memorized A, B, C, D, E, F, G, H, I, J, K, M, N, O, P, Q, R, S, D, U, V, W, X, Y, Z, right? At some point we had to memorize it, but once you end up using it a lot, it's just part of your dialogue, right? It's difficult after 12, it's difficult. I don't memorize after 12, I just do. Well, more so, more so. Who came up with the ordering of alphabet? My guess would be linguists, right? My guess would be linguists. So let's do one more. Okay, what number was that, 10, 11? Let's do number 11. What are we gonna add? Well, let's do this. I'm gonna make it more difficult. We're gonna take a huge step forward, right? So number 11, two, X minus one divided by five plus three. Let's go minus, minus three times two X plus four is equal to four X minus one, all of it divided by two. And I'm doing this because I wanna show you the rhythm of this, right? Now, this is more difficult than what we should be able to do. I wouldn't usually kick it up to this level, but I wanna just end this section with this and then get into the chat and see if we wanna go anywhere else with this, right? So there's a rhythm in this, right? You could deal with the brackets first if you want. Or whenever I see this personally, when I see fractions, I multiply the whole equation by the common denominator, which I haven't shown you guys this in this math session, but we've done a lot of this stuff previously in the previous math videos we've done, right? Multiply the whole equation by the common denominator. The common denominator is 10. What's the common denominator between five and two? 10. So you multiply everything by 10. All the terms, there's three terms here. One term, two terms, three term. So 10 multiplies this, multiplies this, multiplies this. Putnar, did you get it? Did you get a twist? Let's check it out. So the reason we're gonna multiply by 10 is because the denominator dies. The 10 kills the two, right? Two goes into 10 five times five, now multiplies the top. This side, check and look at this thing. I'm gonna do this thing on the side. So 4x minus one divided by two times 10. That's 10 over one. Two goes into 10 five times, so it's really just five multiplying this and that. So this becomes 20x minus five. Okay. Twist, you say negative 119 over 76, eh? Let's check it out. Over here, 10 multiplies this, it becomes 30 times 2x plus four. The 10 doesn't multiply the inside because this is one term, it just multiplies what's on the outside of the bracket. Let me make this so it looks better. This one, two bracket, x minus one times five. The five knocks the 10 down to two, so it's just two multiplying this. So this becomes four on the outside, x minus one. Now we got more simplifying to do. We're gonna deal with the brackets first. Line up your equals sign. Four multiplies in, negative 30 multiplies in. So this is 4x minus four minus 60x minus 120. This is 20x minus five. We're still in the simplifying phase. We're gonna simplify each side first. Line up your equals sign. Combine your like terms, okay? 4x minus 60x is negative 56x. Negative four minus 120 is negative 124. We've got 20x minus five. Now when you're trying to solve for x, it means you need to get all the x's to one side and have the result being x equals something, right? Well, we have x's on this side. We've got x's on this side. And we've got a number on this side and a number on this side. So what I'm gonna do is I'm gonna grab this 20x, bring it over, it becomes minus 20x. I'm gonna grab this negative 124, bring it over, it becomes plus 124. Line up your equals sign. Negative 56x minus 20x is negative 76x. Negative 76x, 124 minus five is 119, right? Twist, you got it correct. Very good. My C says I'm slow. That's okay, that's okay. This is not about speed, by the way, right? That's one of the other reasons centralized education is so horrendous. They put people under the clock. Get it done, get it done, get it done fast. Well then, why are you speeding things up? The first thing they teach you when you learn how to drive is speed kills. Well if speed is so dangerous that it kills, why aren't they forcing students to react rapidly? Crazy, right? I do mine quite differently, teacher. Do you? I use fractions the whole way. Use fractions the whole way, cool, cool, cool. I don't like memorizing or doing quickly. I prefer intuition, yeah. You sacrifice accuracy for the sake of speed. You sacrifice accuracy for the sake of speed, which is, well, speed kills, right? And then you divide by negative 76. You divide by negative 76. So X is equal to negative 119 over 76. And that is your answer. And honestly, gang, if you're doing mathematics in school, when you're doing problems, when you get to the end, circle your answer, your teacher will thank you for it, your markers will thank you for it. That way they don't have to decipher your hyaloglyphics to find out what the answer is. They automatically see it. It makes their job easier, make their job easier. And gang, thank you for the follows. Appreciate the support. That's basically sort of an intro to solving for X. Dealing with the equal side, okay? I lost points because my handwriting was so bad. Yeah, yeah, 200 IQ. Yeah, I did too. There was a, for me, the math, I didn't have that much of a problem with because I always circled it, right? But for me, my handwriting was so horrendous that in grade nine, I believe, I think it was grade nine, I handed an essay, and at the time we didn't have computers that you type stuff. You had to hand write it, right? I handed an essay once in English class and the day the teacher was giving all the essays back, she handed everyone's essays back and she didn't hand mine back, so I went up to her and I asked her, I go, oh, where's my essay? She goes, oh, here you go. And it said zero, I went, what? She gave me zero, he goes, I can't read your writing because I was doing writing, like horrendous, right? Like, I can't even do it now, like script, right? And I was like, but that's the way I write, like that's how I learn, like, how could you give me zero? Like, in English was my third language, so I learned how to read and write English slowly in grade five and grade six. By the time I got into grade nine, I was semi-okay, but that was not very good. Do you think it's possible for anything to travel faster in the speed of light? Speed-wise, no, but I'm pretty sure there's warping. We talked about running, I got a video out there regarding do chicho, speed of light. You'll find a video where I'm talking about Einstein's paper on the electrodynamics of moving bodies and why we can't travel to speed of light. It's an ASMR video and I talk about this concept for about, I think it's about half an hour, 45 minute video. It's cool. And, you know, I didn't know how to print in English, please, in English, please, right? And then I was like, well, this is the only way I can write. Like, this is my writing. This is, like, I knew English for five, how many years? Let's say I learned how to write basically slowly in grade six, seven, eight. So for three years I was writing like this, three, four, three years I was writing. She was saying no. And I did another essay, handed it in, zero again. I'm like, damn, I'm gonna fail grade nine in English. So I learned how to print, solve, you know, chicho. So I don't know how to do script anymore. I just print. I had to adjust. It was a pain in the ass, man. So slow. I got deducted 20% on my test because I used a different formula to solve the answer. But God, oh my, coder, Z coder, those types of teachers, educators, people should be fired as far as I'm concerned. I have students that they do, they get the right answer and the teacher, the ducks marks for them. Here, I'll give you an example. Watch this. Watch this. One of them is factoring complex trinomials. I teach a different method than every school, right? I've had teachers mark an assignment at test zero, even though the person got everything correct, right? Here's another one that a recent student mind was deducted marks for, right? Watch this, two X is equal to eight. We did this, right? So you divide both sides by two, divide both sides by two, so X equals four. I teach my students this way, right? I say two X is equal to eight. You're gonna divide both sides by two. You're gonna divide both sides by two, divide by two. Draw one line, put one two, right? X is equal to four. Teacher said wrong. What do you do? All right. I laughed. He didn't have mercy. My handwriting is really hard to understand too. So you're not alone, yeah. Ronnie, because I was thinking if objects from an exploded star travels faster, we'd get hit by the debris while the star, if visible from the naked eye would still be intact. That'd be a trip, wouldn't it? That'd be a trip. But there's nothing stopping those asteroids go through a wormhole and popping up in our atmosphere and killing everybody. Twist, no one uses script or cursive anymore outside of us. Yeah, they don't anymore, do they? Too bad, I really liked the script. I really did, but they got it out of me. They got it out of me. I guess I couldn't be a doctor no more, right? My doctor career was over in grade nine. Not that I would ever be. And gang, don't forget. Free Assange, Free Assange, Free Assange. Julien Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capitalist power to humanity. For more information, see wikileaks.org or check out our Julien Assange and WikiLeaks playlist on SensorTube. Can you reach a method for factoring higher degree polynomials? Sure, teach a method, a synthetic division. There is a triangle. Das, you make me remember that in my second grade I use a fourth grade method to calculate something and got zero because it was the wrong form of them when my answer was right. Yeah, it's crazy. Like usually I'm teaching my students higher level than where they are in school, right? So we have to talk about it and sometimes I say, listen, you know how to do this with like the quadratic formula factoring but don't use it because you haven't been taught that. And my students are usually, but it's a lot easier. Why would I do it? I go, look man, you wanna get the marks or you don't wanna get the marks? Up to you. You haven't learned it yet. You can do it for one of them, just to test the teacher out, see if he'll give you the marks part or not. But, get the mark. High degree polynomials, right? Take a look. And by the way, I have, if you do Chicho synthetic division, I have a whole series of videos out there on how to do synthetic division, okay? So it's called synthetic division. And I take division. Okay. So that's what you use to factor higher degree polynomials, right? But here's one, let's do one. Okay. Now I don't know if it's gonna be factorable, we're just gonna have to try it out, right? But let's assume we had this. X to the power of five minus three X cubed plus two X squared minus X plus two. Okay. So we wanna factor this. And the reason I needed a five is because odd power will guarantee we have at least one X or something. I can't guarantee that it's gonna be what do you call it? An integer, okay? Or a rational number, right? Or an irrational number or from the real number set. Or actually, we want it to be, if you're doing manually, you want it to be from a rational number, right? Long time, no sealed front. Taco operator, how are you doing? Long time, long time. Welcome to another live stream, mathematics. You're in that crash, oh no. So the way you factor these things, polynomials that are higher in degree. The first numbers you try are factors of the last number divided by the factors of the first number. Now there's a one in front of this, right? So possible factors of this that could be rational numbers is this. Possible factors of two is plus or minus one and plus and minus two, divided by possible factors of one is plus and minus one. Now plus and minus one is just plus, doesn't change this, the above. Not factorable, not factorable, isn't it? Crap, I picked one that wasn't factorable. Isn't it twist, did you go to Wolfram or what do you call it? Well it is factorable, it will cross the x-axis once, but it just means it's not what do you call it, factorable manually, right? But we're gonna try this anyway. I'm gonna show how it works and then we're gonna try, we've got four numbers here, we can try. Plus and minus one and plus and minus two. So what you end up doing is this. Take the coefficients in front of the variables, sequentially from the highest degree first down. Now if you're missing any of the degrees and we're missing x to the power of four, right? It's a great example though, it's a great example, cool. So if we're missing x to the power of four, you have to fill in a zero. So the coefficient in front here is one, x to the power of four is missing, so go zero, x to the power of three, the coefficient is negative three, and then two, and then negative one in front of the x, right? And then plus two. And what we're gonna try, it just can't be taken all the way, it just can't be taken all the way, okay, cool, that's good. So this guy, we're gonna try these and what these mean is x equals plus one, minus one, plus two, or minus two. Now if all of these things were pluses, you wouldn't even bother trying the pluses because you knew, you know that this is never gonna equal zero because that's what it means to be able to factor of all, right? Because what you're trying to do if this is f of x, if this is factor of all, then it crosses the x axis, so f of x is zero and this will never equal zero if all of these things are positive and you try a positive number. But because these things flip between positive and negative, I'm gonna try x equals one first. Equals one, which means x minus one is a factor. Okay, so the way you do it is bring this guy down, one. Multiply it by this guy, one times one is one, add them up, you get one. Multiply it by one. So every time you go diagonal up, you're multiplying by this number here. Okay, by one. One times one is one, negative two. Negative two times one is negative two, zero, cool. Times one is zero, add them up, you get negative one. Multiply it by one is negative one, you add them up, you get one. That's not equal to zero. If it equals zero, then x equals one would be an x-intercept and x minus one would have been a factor of this. But what this means is the following. If x is equal to one for f of x, let me write down f of x, so you see it properly. Let me erase this. f of x. What we got here is this. That's what this number means. It means if x is equal to one for this function, y is equal to one. You just found a point on the graph. Okay, so what we did, we just went f of one is equal to one, that's a point. We didn't want a point on the graph. We wanted to find the x-intercepts. You'd be amazing to have any intelligent conversation running. I don't know if any would be the right word. Let's try negative one. x is equal to negative one, right? So let's punch in these numbers again. One, zero, negative three, two, negative one, and two. So this means x plus one. So bring one, multiply by negative one is negative one, add them up, you get negative one, multiply by negative one is one, add them up, you get negative two, multiply by negative one is two, add them up, you get four, multiply by negative one is negative four, add them up, you get negative five, multiply by negative one is five, add them up, you get seven, that doesn't work. What did that mean? If x is, it's okay. It's okay. This means f of negative one is equal to seven. So that's not zero, so it's not a factor. We've got two more numbers we can try, positive two and negative two. X is equal to two. Write down these numbers again, right? One, zero, negative three, two, negative one, two. This means X minus two. One, multiply by two, two, two, four, one, two, four, eight, seven, 14, 16. Damn, that's not close. So this means F of two is equal to 16. That's another point on the graph. Let's try negative two. We'll try to fit it in down here so you see all in one shot, right? That the X equals negative two. Can you see all that? Yeah, perfect. One, zero, negative three, two, negative one, two. And this means X plus two. So you get one, negative two, negative two, four, one, negative two, zero, zero. What have we got? Negative one times negative two is two and four. Ah, that didn't work either, right? So F of negative two is equal to four. What you just found was four points on this graph, right? And if we're gonna put it in there, here, let's graph it up top. Take down synthetic division off. We didn't find any of the factors, right? So we can't do it manually, right? Well, you probably could, but you can't use synthetic division. So we found one and one. Let's assume that's one and one. That's a point on the graph. Negative one and seven, negative one and seven. Let's say that's seven. Two and 16, two and 16 is like way up there. And then negative two and four, negative two and four somewhere here. Now, what's the Y intercept? Y intercept is set X is equal to zero. This disappears, disappears. Y intercept is two. And then you need to find the next intercepts. You can find different points. You can do calculus, take the derivative of this, find the inflection points, the concavity of it with the second derivative and be able to graph this thing, right? But it takes effort. It takes effort, right? There's different concepts that you need. I hope that helps. What you were looking for for this to equal zero, because if this equals zero, it would have been F of negative two equals zero, and you're on the X axis, you found the factor, right? Does that help? I hope so. I hope so. Fun. Fun. That's good mathematics today. There's a triangle. Where is there a triangle? What do you mean there's a triangle? How's the triangle? I like synthetic division. It's very meditative. Very meditative. What math are we doing today? The gamers. Clue. Yes, sir. Can you change the last number to one instead of zero and show how it pans out? Pounds out if the, pans out of it's successful. The last number to zero. This one. Yeah, if this is equal to zero, I mean one instead of two. One instead of two. Oh, this one? Yeah, if you change this one to one, here, that's what you mean. If you say, let's say you want to find F of zero, right? So that means you want to find F of X is Y. You want to find Y, okay, when X is zero. So you sub in zero for X. So zero to the power of five is zero. Three times zero, zero, zero, zero. So you just get two. And if that was one, you would get one. So it would be on the Y axis. But it's a two. That's your Y intercept. So when X is zero, when X is zero, Y is two. I hope that's what you meant. Pascal. Oh, Pascal's triangle, that's right. That is meditation. It is black light. Turn off the black light, man. And gang, don't forget. Free Assange, Free Assange, Free Assange. Julien Assange is a publisher and journalist that has been crucified for trying to bring transparency and accountability of capitalist power to humanity. For more information, see wikileaks.org or check out our Julien Assange and Wikileaks playlist on SensorTube. Gang, should we call the stream? Let's call the stream. Let's call the stream, fun time, fun time. And woop, choo. And tomorrow we're doing readings. Oh, man, black light. Tomorrow we're doing reading from Terence McKenna's Fruit of the Gods, right? And I've only read a few pages of that. And I've been meaning to read it for a long time. So what we're gonna do with that book is just basically ask Chad what page you wanna go to and we'll go to that page and I'll pick a paragraph and read that paragraph. So we're gonna jump all over. It's gonna be like a lottery, right? Maybe we get some goodies, right? Ronnie, thanks, man. I appreciate your knowledge about my pleasure, man. What we know is meant for sharing, right? So we need free flow of information. Oh, damn, Terence McKenna, that's exciting. Dubweaver, indeed. We're gonna read some Terence McKenna. Man, I hope he uses his English. He was a master, master at communicating. The way he spoke and the way he writes is brilliant. So I hope I can do it justice because he uses some words that are like, wacko, it's like very poetic, right? So I'm very excited about it. I hope I can do a good job, right? So tomorrow morning we're doing Terence McKenna's Reading Game, okay? Black Light YouTube. It's the end of the stream when the camera goes out of focus. Awesome stream, awesome stream. Thank you for being here, gang. And, gang, if you wanna know what this is about, I am, I am on Patreon. Clue, sure. You're so good at explaining. Wish I could sit with you for some more math. First time I hopped into your stream. Ah, welcome, welcome, welcome. It was delightful. I'm struggling with subtopics for an upcoming entrance exam. Can I share some of those in your next math? Oh, for sure, Clue. For sure, Clue. We do one math stream every set that I announce. Dubweaver, thank you very much for the Twitch Prime sub. Das, thanks for the stream. Always nice to hang out with people, man. Talking about everything. Fruit stream is what I need. Yeah, and Thursday we do food. And Clue, we do one math stream every set that I announce. I sort of don't have a set schedule. I announce sets. And if you follow the stuff on Patreon, you don't, I don't put anything behind Paywall. Everything's creative commas, right? So you can just follow and you'll get notifications on the set of streams, what streams I've scheduled in for like a week or week and a half. And in those, there will be a math stream. For this set, this was the math stream. So expect the next one in a couple of weeks, I guess. And I have a brother, sister. I have hundreds of videos on SensorTube, okay? And I've dealt with a lot of mathematics, taught a lot of mathematics. There's some, some of it is the best explanation. I'm tooting my own horn, but some of the best explanation you'll have regarding certain topics. So if you're looking for something specific, you can come to our Discord page. We can direct you or I'll try to direct you if I've done it to an end video that can explain what it is that we're doing. You're definitely welcome to the live streams. The live streams are phenomenal at level, right? Joe, how are you doing? The last time I encountered synthetic division, I had to learn the remainder and factor theorem. Yeah, the remainder factor theorem says this. If the n number is not zero, then that means it's the remainder, which means it's what y is when x is this. If it's zero, it means it's the factor. It means y is equal to zero when x is this. The remainder theorem and the factor theorem are the same thing. That's the kicker, right? They just came up with two different words for it, but if you understand what it is, it just says that if this is zero, it's a factor. If it's not zero, it's what y is when x is that, right? It's just crazy. They both went completely over my head. I actually have a video, Joe. There's one video I did with a cinematographer friend of mine that saw what I was doing regarding mathematics and he said, Chicho, I want to do a collaboration with you. Let me find it for you, because I'm very proud of that video, okay? Chicho, factor, c, r, m. And he ended up shooting it and editing it, okay? And it's very professional. And we put this baby out. When did we put this out? 2011, fun stuff. And he's a phenomenal guy, man. Phenomenal guy. I wish we'd done more stuff together, but here. This will explain the remainder theorem and the factor theorem to you, okay? Aside from that gang, you want to follow the work, you want to support the work, Patreon is a great way to do so. Gang, those of you who are supporting this work on Patreon, thank you for the support, and I'm sure others thank you as well. We are live streaming on Twitch.tv4 slash Chicho Live, C-H-Y-C-H-O-L-I-V-E, if you want to participate in the chat, Twitch is where you want to be at. And gang, thank you for the follow-ups, thank you for the subs, thank you for being here and mods, thank you for taking care of business. Elder God, I'm looking at you. Awesome, awesome, good night. That was a pleasantly nice way to end my day. Awesome clue. 10 years, 10 years ago, 10 years ago. I do announce these live streams 30 minutes before we go live on Parler, LOMinds, VKGab, and Twitter, and we do have a Discord page where people are sharing a lot of information. Okay, and you can come to our Twitch channel anytime you want, type in Explanation Marks Social, and all those links will pop up, including our invitation to our Discord page at the bottom here. Dub Weaver, thanks Chicho. See you tomorrow for Mechana, awesome, awesome. For live streams, when we don't have any visuals, I do upload the audio to SoundCloud.com for our size, Chicho, C-H-Y-C-H-O is a podcast, and it should be available on your favorite podcasting platform, including Spotify and iTunes. And we will be uploading this live stream, this video to SensorTube, to Bitshoot, and to Rumble. And if we have enough points to Odyssey. And for those of you that are supporting this work on those platforms, thank you very much for the support gang. And if you're on YouTube, you wanna support this work, you can join YouTube membership, and there's a button down here. There's a handful of you that are supporting this work on that platform, and thank you very much for the collective support gang. It is in large part because of your support that we're still here, still producing work, and have a long ways to go yet, which is fantastic. Aside from that, tomorrow, Terence Mechana. Let's read some Terence Mechana. Bye everyone, I hope you have a fantastic day.