Answer:
x = - 7, x = 2
Explanation:
Given
x² + 5x - 14 = 0
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2, since
7 × - 2 = - 14 and 7 - 2 = + 5 , 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