Question 661525
(12x/x-4) - (3x^2/x+4) = (384/x^2-16)
Factor the right
384 / (x+4)(x-4)
(12x/x-4) - (3x^2/x+4) = (384/(x+4)(x-4))
Multiply both sides by (x+4)
(12x(x+4)/x-4) - 3x^2 = 384/(x-4)
Multiply both sides by (x-4)
12x(x+4) - 3x^2(x-4) = 384
12x^2 + 48x - 3x^3 + 12x^2 = 384
24x^2 + 48x - 3x^3 = 384
3x(-x^2 + 8x + 16) = 384
Divide both sides by 3
x(-x^2 + 8x + 16) = 128