Question

Rational equation

-5/x-3 - 3/x+3=2/x^2-9
how do I solve?

Answer 1

multiply everything by x^2-9, which gives you:
-5(x+3)-3(x-3)=2
Have fun!

Answer 2

9(x+3)-3(x+3)=2
9x+27+3-9=2
6x-36
6x=48
x=8

Is this right?

Answer 3

I apologize! I misread your equation. Multiply through by x^2 gives:
9x^2-8x-2=0. Use Quadratic Formula to get two solutions: (8+sqrt(136))/18 and (8-sqrt(136))/18. I checked, and both work!