Answer:
x = - 9, x = 2
Step-by-step explanation:
Given
(x + 9)(x + 2) = 4(x + 9) ← expand factors on left using FOIL
x² + 11x + 18 = 4x + 36 ( subtract 4x + 36 from both sides )
x² + 7x - 18 = 0 ← in standard form
(x + 9)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 2 = 0 ⇒ x = 2
