Solve the following equation by factorization: 3x2 + 11x + 10 = 0, when x ∈ I

Given, ⇒ 3x2 + 11x + 10 = 0 ⇒ 3x2 + 6x + 5x + 10 = 0 ⇒ 3x(x + 2) + 5(x + 2) = 0 ⇒ (3x + 5)(x + 2) = 0 ⇒ 3x + 5 = 0 or x + 2 = 0 [Using Zero-product rule] ⇒ 3x = -5 or x = -2 ⇒ x = or x = -2. Since, x ∈ I x = -2 Hence, x = {-2}.