Answer:
x = - 6, x = - 1
Explanation:
= -
( cross- multiply )
2x(x + 4) = - 6(x + 2) ← distribute parenthesis on both sides )
2x² + 8x = - 6x - 12 ( subtract - 6x - 12 from both sides )
2x² + 14x + 12 = 0 ( divide through by 2 )
x² + 7x + 6 = 0 ← in standard form
(x + 6)(x + 1) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x + 1 = 0 ⇒ x = - 1