X / (x-2) + (x-1) / (x+1) = - 1

How to solve?

Multiply entire equation by (x-2) (x+1) to get rid of the denominators That would lead to X (x+1) + (x-1) (x-2) = - 1 (x-2) (x+1)

Finally, using distributive property and foil, you would get x^2+x+x^2-3x+2 = (-x^2+x+2).2x^2-2x+2=-x^2+x+23x^2-3x=0

3x (x-1) x=0 and x=1