SOLUTION: x+6 over x+5 = x+5 over x+7 +1 solve x

Algebra ->  Expressions-with-variables -> SOLUTION: x+6 over x+5 = x+5 over x+7 +1 solve x      Log On


   



Question 838554: x+6 over x+5 = x+5 over x+7 +1 solve x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B6%29%2F%28x%2B5%29+=+%28x%2B5%29%2F%28x%2B7%29+%2B1+
%28x%2B6%29%28x%2B7%29=%28x%2B5%29%5E2%2B%28x%2B5%29%28x%2B7%29
x%5E2%2B13x%2B42=x%5E2%2B10x%2B25%2Bx%5E2%2B12x%2B35
x%5E2%2B13x%2B42=2x%5E2%2B22x%2B60
x%5E2%2B9x%2B18=0
%28x%2B3%29%28x%2B6%29=0
Two solutions:
x%2B3=0
x=-3
and
x%2B6=0
x=-6