Solve the following equation: 2x 2 + 7x + 6 = 0

Given, 2x 2 + 7x + 6 = 0. ⇒ 2x 2 + 4x + 3x + 6 = 0 ⇒ 2x(x + 2) + 3(x + 2) = 0 ⇒ (2x + 3)(x + 2) = 0 ⇒ 2x + 3 = 0 or x + 2 = 0 ⇒ 2x = -3 or x = -2 ⇒ x = or x = -2. Hence, roots of the given equations are , -2.