Find the sum of all x that satisfy the equation -9x/(x^2 - 1) = 2x/(x + 1) - 6/(x - 1) + 3/(x + 1)
x^2 - 1 = (x + 1) ( x - 1)
Multiplying both sides by the right side above
- 9x = 2 (x - 1) - 6(x + 1) + 3(x - 1) simplify
-9x = 2x - 2 -6x - 6 + 3x - 3
-9x = -x - 11
-8x = 11
x = -11 / 8