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.
⇒ (4 – 3x)(2x + 3) = 5x
⇒ 8x + 12 – 6x2 – 9x = 5x
⇒ 6x2 + 6x – 12 = 0
⇒ x2 + x – 2 = 0
⇒ x2 + 2x – x – 2 = 0
⇒ x(x + 2) – (x + 2) = 0
⇒ (x – 1)(x + 2) = 0
⇒ x = 1, - 2