What is the answer to 6/x-5/(x-6)+1=0 ?

The answer to 6/x-5/(x-6)+1=0 is x=9,x=-4

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6/x-5/(x-6)+1=0

\frac{6}{x} - \frac{5}{x - 6} + 1 = 0

x = 9, x = - 4

Solution steps

\frac{6}{x} - \frac{5}{x - 6} + 1 = 0

Multiply by LCM

6 (x - 6) - 5 x + x (x - 6) = 0

Solve

6 (x - 6) - 5 x + x (x - 6) = 0 : x = 9, x = - 4

x = 9, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 6

Combine undefined points with solutions:

x = 9, x = - 4

1 - \frac{81}{x ^{2}} = 0

- 2 x + 4 = \frac{1}{3 x - 4}

\frac{1}{2 ( 2 y + 4 )} = - 6

x, x^{- 3} = 0

\frac{x}{x + 3} = \frac{2 x}{x - 3} - 1

What is the answer to 6/x-5/(x-6)+1=0 ?
The answer to 6/x-5/(x-6)+1=0 is x=9,x=-4
Solve for x: 6/x-5/(x-6)+1=0
The solution is x=9,x=-4