Solve the following equation. Show all steps.

Question

x/x-2+x-1/x+1=-1

Answer 1

I guess maybe you mean:

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

multiply everything by
(x-2)(x+1)

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

x^2 + x +x^2 -3x +2 = -[ x^2-x-2 ]

2 x^2 -2x +2 = -x^2 + x + 2

3 x^2 - 3 x = 0

3 x (x-1) = 0

x = 0 or x = 1

Answer 2

Thank you so much!!

Answer 3

You are welcome.