Answer:
x = - 6, x = 9
Explanation:
Given
(x + 1)(x - 4) = 50 ← expand parenthesis using FOIL
x² - 3x - 4 = 50 ( subtract 50 from both sides )
x² - 3x - 54 = 0 ← in standard form
(x + 6)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 9 = 0 ⇒ x = 9