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.
⇒ 7(x + 5 – x + 1) = 6(x – 1)(x + 5)
⇒ 42 = 6x2 + 24x – 30
⇒ x2 + 4x – 12 = 0
⇒ x2 + 6x – 2x – 12 = 0
⇒ x(x + 6) – 2(x + 6) = 0
⇒ (x – 2)(x + 6) = 0
⇒ x = 2, -6
45