NEED HELP ASAP!

Question

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

Please show me how you got your answer as well. :)

Answer 1

multiply by [(x-2)(x+1)] ... common denominator

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

multiply and collect like terms

you'll be solving a quadratic equation

Answer 2

you'll get a better answer if you don't forget that "-1" on the right:

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