Answer:
x = - 4, x = 16
Step-by-step explanation:
x² - 12x - 64 = 0
Consider the factors of the constant term (- 64) which sum to give the coefficient of the x- term (- 12)
The factors are + 4 and - 16 , since
4 × - 16 = - 64 and 4 - 16 = - 12 , then
(x + 4)(x - 16) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 16 = 0 ⇒ x = 16
