Solve the following equation by factorization: 3a^2x^2 + 8abx +4b^2 = 0, a ≠ 0

Given, ⇒ 3a2x2 + 8abx + 4b2 = 0 ⇒ 3a2x2 + 6abx + 2abx + 4b2 = 0 ⇒ 3ax(ax + 2b) + 2b(ax + 2b) = 0 ⇒ (3ax + 2b)(ax + 2b) = 0 ⇒ (3ax + 2b) = 0 or (ax + 2b) = 0 [Using Zero-product rule] ⇒ 3ax = -2b or ax = -2b ⇒ x = or x = . Hence, x = .