Answer:
x = - 8, x = 2 are the solutions
Step-by-step explanation:
Given
x² + 6x - 16 = 0
Consider the factors of the constant term (- 16) which sum to give the coefficient of the x- term (+ 6)
The factors are + 8 and - 2 , since
8 × - 2 = - 16 and 8 - 2 = + 6 , thus
(x + 8)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 2 = 0 ⇒ x = 2
