Question

Solve the following equation by factorization:

x² + 2x = 24

Answer 1

Given,

⇒ x² + 2x = 24

⇒ x² + 2x – 24 = 0

⇒ x² + 6x – 4x – 24 = 0

⇒ x(x + 6) – 4(x + 6) = 0

⇒ (x – 4)(x + 6) = 0

⇒ x – 4 = 0 or x + 6 = 0   ...[Using zero-product rule]

⇒ x = 4 or x = –6.

Hence, x = {–6, 4}.