SOLUTION: 1/(x+2) - 4/(x+3)= 1/(x^2 + 5x +6) solve.

Algebra ->  Expressions-with-variables -> SOLUTION: 1/(x+2) - 4/(x+3)= 1/(x^2 + 5x +6) solve.      Log On


   

Question 558806: 1/(x+2) - 4/(x+3)= 1/(x^2 + 5x +6)
solve.
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x%2B2%29-4%2F%28x%2B3%29=1%2F%28x%5E2%2B5x%2B6%29
Take LCD on R.H.S.
%28%28x%2B3%29-4%28x%2B2%29%29%2F%28x%2B2%29%28x%2B3%29=1%2F%28x%5E2%2B5x%2B6%29
%28x%2B3-4x-8%29%2F%28x%5E2%2B3x%2B2x%2B6%29=1%2F%28x%5E2%2B5x%2B6%29
%28-3x-5%29%2F%28x%5E2%2B5x%2B6%29=1%2F%28x%5E2%2B5x%2B6%29
%28-3x-5%29%2Fcross%28x%5E2%2B5x%2B6%29=1%2Fcross%28x%5E2%2B5x%2B6%29
-3x-5=1
-3x=5
-3x%2F-3=5%2F-3
cross%28-3%29x%2Fcross%28-3%29=5%2F-3
x=-5%2F3
x=-%281%262%2F3%29