Answer:
x = - 2, x = 12
Step-by-step explanation:
Given
x² - 9x = x + 24 ( subtract x + 24 from both sides )
x² - 10x - 24 = 0 ← in standard form
(x + 2)(x - 12) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 12 = 0 ⇒ x = 12
