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

The answer to (x+6}{x-6}=\frac{-4)/x is x=2,x=-12

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

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

x = 2, x = - 12

Solution steps

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

Cross multiply

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

Solve

(x + 6) x = - (x - 6) \cdot 4 : x = 2, x = - 12

x = 2, x = - 12

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 0

Combine undefined points with solutions:

x = 2, x = - 12

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

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

\frac{14}{x} = x - 5

\frac{1}{2 b} + \frac{1}{b} = 2

\frac{8 ^{- 1}}{4 ^{- 1}} - a^{- 1} = 1

What is the answer to (x+6}{x-6}=\frac{-4)/x ?
The answer to (x+6}{x-6}=\frac{-4)/x is x=2,x=-12
Solve for x: (x+6}{x-6}=\frac{-4)/x
The solution is x=2,x=-12