Solve the following quadratic equations by factorization:

In factorization, we write the middle term of the quadratic equation either as a sum of two numbers or difference of two numbers such that the equation can be factorized



5x(4x – 8 + 3x + 3) = 46(x + 1)(x – 2)


35x2 – 25x = 46x2 – 92 – 46x


11x2 - 19x - 92 = 0


11x2 - 44x + 23x – 92 = 0


11x(x – 4) + 23(x – 4) = 0


(11x + 23)(x – 4) = 0


x = 4, - 23/11


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