 Hello and welcome to the session. Let us understand the following problem today. Find the rules of the following quadratic equation by factorization given to us as 2x square plus x minus x is equal to 0. Now, given equation is 2x square plus x minus 6 is equal to 0. Now solving this by splitting the middle term, we can write this equation as 2x square plus 4x minus 6 is equal to 0 which implies taking 2x common from this we get x plus 2 and taking minus 3 common from this we get x plus 2 is equal to 0. This implies 2x minus 3 into x plus 2 is equal to 0. Therefore 2x minus 3 is equal to 0 and x plus 2 is equal to 0 which implies x is equal to 3 by 2 and x is equal to minus 2. Therefore, the required roots are minus 2, 3 by 2. I hope you understood the problem by and have a nice day.