SOLUTION: Solve x / 3 = 4 / x + 1

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Question 199994: Solve
x / 3 = 4 / x + 1
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
x%2F3+=+4%2F%28x%2B1%29 Multiply both sides by (x+1).
x%28x%2B1%29%2F3+=+4 Multiply both sides by 3.
x%28x%2B1%29+=+12 Perform the indicated multiplication on the left side.
x%5E2%2Bx+=+12 Subtract 12 from both sides.
x%5E2%2Bx-12+=+0 Factor this trinomial.
%28x-3%29%28x%2B4%29+=+0 Apply the zero product rule.
x-3+=+0 or x%2B4+=+0 so that...
highlight%28x+=+3%29 or highlight%28x+=+-4%29