Answer:
x = - 6, x = 4
Step-by-step explanation:
Given
x² + 2x - 24 = 0
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 2)
The factors are + 6 and - 4 , since
6 × - 4 = - 24 and 6 - 4 = + 2 , then
x² + 2x - 24 = (x + 6)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 4 = 0 ⇒ x = 4
