SOLUTION: 2x/(x^2+x)=x/(x+1) Please solve for x and show the steps. This question has been bothering me the whole day.

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: 2x/(x^2+x)=x/(x+1) Please solve for x and show the steps. This question has been bothering me the whole day.      Log On


   

Question 657598: 2x/(x^2+x)=x/(x+1)
Please solve for x and show the steps. This question has been bothering me the whole day.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%29%2F%28x%5E2+%2B+x%29+=+x%2F%28x%2B1%29
...
Multiply the entire equation by %28x%2B1%29%28x%5E2%2Bx%29
2x(x+1) = x(x^2+x)
...
Distribute
2x^2 + 2x = x^3 + x^2
...
-x^3 + x^2 + 2x = 0
...
-x%28x%5E2-x-2%29=0
...
%28-x%29%28x%2B1%29%28x-2%29=0
...
x = 0
x = -1
x = 2
All real number except -1, 0, and 2
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