Question

Solve the following equation by factorization:

12x² + 29x + 14 = 0

Answer 1

Given,

⇒ 12x² + 29x + 14 = 0

⇒ 12x² + 21x + 8x + 14 = 0

⇒ 3x(4x + 7) + 2(4x + 7) = 0

⇒ (4x + 7)(3x + 2) = 0

⇒ 4x + 7 = 0 or 3x + 2 = 0   ...[Using zero-product rule]

⇒ 4x = –7 or 3x = –2

⇒ `x = (-7)/4` or `x = (-2)/3`

Hence, `x = {(-7)/4, (-2)/3}`.