Answer:
x = - 4 , x = - 2
Explanation:
x² + 6x + 8 = 0
consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (+ 6)
the factors are + 4 and + 2 , since
4 × 2 = 8 and 4 + 2 = 6 , then
(x + 4)(x + 2) = 0 ← in factored form
equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 2 = 0 ⇒ x = - 2