SOLUTION: Determine the solution(s) to the given equation. 4/x+4/(x-15)=1

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Question 833659: Determine the solution(s) to the given equation.
4/x+4/(x-15)=1
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
4%2Fx%2B4%2F%28x-15%29=1
The common denominator is x(x-15); multiply the left and right members by it and you can clear the fractions.

4%28x-15%29%2B4x=x%28x-15%29
4x-60%2B4x=x%5E2-15x
-60%2B8x=x%5E2-15x
x%5E2-23x%2B60=0
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60=2*3*2*5
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x=%2823%2B-+sqrt%2823%5E2-4%2A60%29%29%2F2
x=%2823%2B-+sqrt%2823%5E2-240%29%29%2F2
x=%2823%2B-+sqrt%28289%29%29%2F2
x=%2823%2B-+17%29%2F2