Hi everyone,

I'm practicing my quadratic equations for exams in a few months and this seems to be the only one in the book giving me problems.

Usually I don't have a problem putting them into standard form and factorising them, perhaps I'm forgetting to do something.

This is the equation I'm working on at the moment, the answers that I am suppose to end up with in the book are x=7/3 and x=-1 ( where x is not actually to -1 because one of the original terms is undefined).

3 - 4/(1+x) = 8/(x^2-1)

3 + 4/(x-1) = 8/(x(x-1)) - simplify

(x-1)(3 + 4/(x-1)) = (8/(x(x-1)))(x-1) - multiply both sides by (x-1)

3x -3 +4 = 8/x

x(3x + 1) = (8/x)(x) multiply both sides by x

3x^2 +x = 8

3x^2 +x -8 = 0

This is where i get stuck because i can't factorise it from here. Unless i got it wrong way in the beginning.

please give me a hand.