 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 minus x plus 1 by it is equal to 0. Now, let us write the solution first of all multiplying the given equation by 8 we get 16x square minus 8x plus 1 is equal to 0 Now splitting the middle term we get 16x square minus 4x minus 4x plus 1 is equal to 0 Now this which implies taking 4x common from this we get 4x minus 1 Taking minus 1 common we get 4x minus 1 which is equal to 0 This implies 4x minus 1 Into 4x minus 1 is equal to 0 Which implies 4x minus 1 is equal to 0 and 4x minus 1 is equal to 0 Therefore x is equal to 1 by 4 and x is equal to 1 by 4 hence required roots are 1 by 4 comma 1 by 4. I Hope you understood the problem bye and have a nice day