What is the answer to (x-2}{x-6}=\frac{-4)/x ?

The answer to (x-2}{x-6}=\frac{-4)/x is x=4,x=-6

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(x-2}{x-6}=\frac{-4)/x

\frac{x - 2}{x - 6} = \frac{- 4}{x}

x = 4, x = - 6

Solution steps

\frac{x - 2}{x - 6} = \frac{- 4}{x}

Cross multiply

(x - 2) x = - (x - 6) \cdot 4

Solve

(x - 2) x = - (x - 6) \cdot 4 : x = 4, x = - 6

x = 4, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 0

Combine undefined points with solutions:

x = 4, x = - 6

\frac{1}{3 x} = 5

\frac{2 x - 3}{5 x} = \frac{11}{2}

\frac{14}{x} = \frac{7}{2}

\frac{8}{3 x} = \frac{1}{6}

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

What is the answer to (x-2}{x-6}=\frac{-4)/x ?
The answer to (x-2}{x-6}=\frac{-4)/x is x=4,x=-6
Solve for x: (x-2}{x-6}=\frac{-4)/x
The solution is x=4,x=-6