Answer:
x = -7 , -1
Step-by-step explanation:
[x² + 6x + 8]/4x - 1/4x = -1/2
[x² + 6x + 8 - 1]/4x = -1/2
[x² + 6x + 7] = -1/2 × 4x
x² + 6x + 7 = -2x
x² + 6x + 7 + 2x = 0
x² + 8x + 7 = 0
x² + x + 7x + 7 = 0
x(x + 1) + 7(x + 1) = 0
(x + 7)(x + 1) = 0
x + 7 = 0 x = -7
x + 1 = 0 x = -1
x = -7 , -1
