What is the answer to (x-6}{x-2}=\frac{-9)/x ?

The answer to (x-6}{x-2}=\frac{-9)/x is x=3,x=-6

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(x-6}{x-2}=\frac{-9)/x

\frac{x - 6}{x - 2} = \frac{- 9}{x}

x = 3, x = - 6

Solution steps

\frac{x - 6}{x - 2} = \frac{- 9}{x}

Cross multiply

(x - 6) x = - (x - 2) \cdot 9

Solve

(x - 6) x = - (x - 2) \cdot 9 : x = 3, x = - 6

x = 3, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = 3, x = - 6

\frac{8}{x} = \frac{1}{2 x} + 45

\frac{20}{x} = \frac{13}{12.5}

x, y = \frac{x + 2}{x - 3}

x - \frac{7}{x + 8} = \frac{2}{x + 8}

2 - \frac{3}{y} = \frac{5}{y ^{2}}

What is the answer to (x-6}{x-2}=\frac{-9)/x ?
The answer to (x-6}{x-2}=\frac{-9)/x is x=3,x=-6
Solve for x: (x-6}{x-2}=\frac{-9)/x
The solution is x=3,x=-6