What is the answer to (x-1}{x-6}=\frac{-6)/x ?

The answer to (x-1}{x-6}=\frac{-6)/x is x=4,x=-9

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(x-1}{x-6}=\frac{-6)/x

\frac{x - 1}{x - 6} = \frac{- 6}{x}

x = 4, x = - 9

Solution steps

\frac{x - 1}{x - 6} = \frac{- 6}{x}

Cross multiply

(x - 1) x = - (x - 6) \cdot 6

Solve

(x - 1) x = - (x - 6) \cdot 6 : x = 4, x = - 9

x = 4, x = - 9

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 0

Combine undefined points with solutions:

x = 4, x = - 9

\frac{3}{x - 5} = \frac{4}{x}

\frac{2}{x + 3} - 1 = 0

\frac{1}{x - 1} + 5 = \frac{16}{x - 1}

x^{- 1} = - \frac{1}{5}

\frac{1}{\frac{1}{z}} = z

What is the answer to (x-1}{x-6}=\frac{-6)/x ?
The answer to (x-1}{x-6}=\frac{-6)/x is x=4,x=-9
Solve for x: (x-1}{x-6}=\frac{-6)/x
The solution is x=4,x=-9