Answer:
x = - 7, x = - 2
Step-by-step explanation:
Given
x² + 9x + 14 = 0
Consider the factors of the constant term (+ 14) which sum to give the coefficient of the x- term (+ 9)
The factors are + 7 and + 2, since
7 × 2 = 14 and 7 + 2 = 9, thus
(x + 7)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x + 2 = 0 ⇒ x = - 2
