SOLUTION: Solve for x x/3 = 12/x +5

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Question 864850: Solve for x
x/3 = 12/x +5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If the equation is x%2F3+=+12%2F%28x%2B5%29, then...


x%2F3+=+12%2F%28x%2B5%29


x%28x%2B5%29+=+3%2A12


x%5E2%2B5x+=+36


x%5E2%2B5x-36=0


%28x%2B9%29%28x-4%29=0


x%2B9=0 or x-4=0


x=-9 or x=4


If the equation is x%2F3+=+12%2F%28x%2B5%29, then the two solutions are x=-9 or x=4
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If the equation is x%2F3+=+12%2Fx+%2B+5, then...


x%2F3+=+12%2Fx+%2B+5


x%2F3-12%2Fx+=+5


%28x%5E2%29%2F%283x%29-12%2Fx+=+5


%28x%5E2%29%2F%283x%29-36%2F%283x%29+=+5


%28x%5E2-36%29%2F%283x%29+=+5


x%5E2-36+=+5%283x%29


x%5E2-36+=+15x


x%5E2-15x-36+=+0


Then you'd use the quadratic formula to solve for x. Since these solutions are much more complicated (and involve radicals), I have a feeling the equation is originally x%2F3+=+12%2F%28x%2B5%29