Question 89884
Solve: x/x^2-36+6/x-6=1/x+6

When you have an equation with denominators, get rid of them.
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Multiply both sides by x^2-36
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x/(x^2-36) +(6/(x-6)) = 1/(x+6)
x + 6(x+6) = (x-6)
x+6x+36 = x-6
7x+36 = x-6
6x = -42
x=-7
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Cheers,
Stan H.