SOLUTION: I am having trouble with solving rational equations! The problem is {{{3n/(n+1)=12/(n^2-1)+(n+4)/(n-1)}}}. I have tried numerous ways of doing this problem, but when I get towards

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am having trouble with solving rational equations! The problem is {{{3n/(n+1)=12/(n^2-1)+(n+4)/(n-1)}}}. I have tried numerous ways of doing this problem, but when I get towards       Log On


   

Question 451388: I am having trouble with solving rational equations! The problem is 3n%2F%28n%2B1%29=12%2F%28n%5E2-1%29%2B%28n%2B4%29%2F%28n-1%29. I have tried numerous ways of doing this problem, but when I get towards the end the factoring starts to confuse me. If you could show me step by step how to do this, I would be super thankful. Thanks so much!!
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
multiplying by (n^2-1) ___ (3n)(n-1) = 12 + (n+4)(n+1) ___ 3n^2 - 3n = 12 + n^2 + 5n + 4

2n^2 - 8n - 16 = 0 ___ n^2 - 4n - 8 = 0 ___ NOT FACTORABLE

use the quadratic formula to find n