Question

Solve the following equation by factorization:

x² – 30x + 216 = 0

Answer 1

Given,

⇒ x² – 30x + 216 = 0

⇒ x² – 18x – 12x + 216 = 0

⇒ x(x – 18) – 12(x – 18) = 0

⇒ (x – 18)(x – 12) = 0

⇒ (x – 18) = 0 or (x – 12) = 0   ...[Using zero-product rule]

⇒ x = 18 or x = 12

Hence, x = {18, 12}.