Answer:
x = - 2 , x = 1
Explanation:
12x² + 12x - 24 = 0 ( divide through by 12 )
x² + x - 2 = 0 ← in standard form
consider the factors of the constant term (- 2) which sum to give the coefficient of the x- term (+ 1)
the factors are + 2 and - 1 , since
2 × - 1 = - 2 and 2 - 1 = + 1 , then
(x + 2)(x - 1) = 0 ← in factored form
equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒⇒ x = 1