5(x+2)/(x-2)^2-2(x+2)/(x-2)-3=0

Hint: use u= x+2/x-2 and solve for x

Enter the solutions separated by commas

without proper parentheses, it's hard to tell, but it looks like you want to solve

5u^2 - 2u - 3 = 0
(5u+3)(u-2) = 0

u = -3/5,2

so, (x+2)/(x-2) = -3/5, x = -1/2
or, (x+2)/(x-2) = 2, x=6

final solution: x = -1/2, 6