Answer:
{ - 2, 4 }
Explanation:
Given
=
( cross- multiply )
(x + 4)(x - 2) = 4x ← expand the left side using FOIL
x² - 2x + 4x - 8 = 4x
x² + 2x - 8 = 4x ( subtract 4x from both sides )
x² - 2x - 8 = 0 ← in standard form
(x - 4)(x + 2) = 0 ← in factored form
Equate each factor to zero and splve for x
x - 4 = 0 ⇒ x = 4
x + 2 = 0 ⇒ x = - 2
Solution is { - 2, 4 }