[(5)/(x-1) - ((2x)/(x+1))] - 1 is less than 0

when I simplify (get common denom to subtract the 1), i get (-3x^2 + 7x + 6)/(x^2 - 1).

i am assuming i am making an error in the simplification here, but i have checked 3 times. the answers in the back of the book (for zeros) are 1, -1 (from denom, i get this part) and -(2/3) and 3. it's these two i can not get from my numerator. where is my error???