 Hello friends, let's discuss the following question. Let's say solve for x. So we are given a quadratic equation in x and we have to solve it for x. So let's now move on to the solution. Given quadratic equation is 12abx square minus 9a square minus 8b square x minus 6ab is equal to 0 and the general form of quadratic equation is px square plus qx plus r is equal to 0. Let's name this as 2 and this is 1. Now how do we solve such quadratic equation for x? We first find out d which is given by the formula q square minus 4pr and the value of x is obtained by the formula minus q plus minus under the root d upon remember this formula while solving this quadratic equation. Now comparing one and two we can see that p is 12ab, q is minus minus of 9a square minus 8b square and r is minus 6ab. Now we first find d by this formula. So it is minus of 9a square minus 8b square whole square minus 4pr p is 12ab and r is minus 6ab. Now this becomes 9a square minus 8b square whole square because minus 1 square is 1 and this becomes plus 72, 72 into 4 is 288. Ab into ab is a square b square and since we have negative sign with 6 and 4 and when we multiply negative becomes positive. Now here we'll apply the formula of a minus b whole square but here a is this whole term 9a square and b is 8b square. So we have a square square 8b square minus 2 into 9a square into 8b square square b square and this becomes 9 square is 81, a square square is 8 to the power 4, 8b square is 64, b to the power 4, 144 into a square b square square b square and here we have used the formula of x minus y whole square which is given by x square plus y square minus 2xy. This is very important to write the formula which you use while solving the question. Now this becomes 81 into a to the power 4 plus 64 b to the power 4, 288 a square b square minus 144 a square b square is plus 144 a square b square and this becomes formula of 9a square plus 8b square whole square and here we have used the formula x plus y whole square is x square plus y square plus 2xy. Here x is 9a square and y is 8b square. Now the value of x is obtained by the formula minus q plus minus under the root b upon 2a. Now we substitute the values of q d and a in this formula so we have q is minus of 9a square minus 8b square minus under the root d. d is 9a square plus 8b square whole square upon a is 12 so this becomes minus 8b square minus 8b minus 8b square. Now we have negative sign outside the bracket so when we open the bracket sign will change it becomes minus 9a square minus 8b square b and the second value becomes and here 1b gets cancelled with b x forza is 24 and from here we have 4 forza 16 4 into 6 is 24. a by b from the second one we have 4 by 6 into b by a again taking to common here we have the values of xs 4b and 2b is minus minus 2b upon 3a. y4b equal to minus 2b upon the required and the session y for now take care have a good day.