What is the answer to (x+4}{x-2}=\frac{-5)/x ?

The answer to (x+4}{x-2}=\frac{-5)/x is x=1,x=-10

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(x+4}{x-2}=\frac{-5)/x

\frac{x + 4}{x - 2} = \frac{- 5}{x}

x = 1, x = - 10

Solution steps

\frac{x + 4}{x - 2} = \frac{- 5}{x}

Cross multiply

(x + 4) x = - (x - 2) \cdot 5

Solve

(x + 4) x = - (x - 2) \cdot 5 : x = 1, x = - 10

x = 1, x = - 10

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = 1, x = - 10

3 V = \frac{3}{( 3 V ) ^{3}}

y + \frac{1}{5 y} = 180

\frac{2}{x + 2} = 4

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

\frac{6}{x - 1} = \frac{4}{x}

What is the answer to (x+4}{x-2}=\frac{-5)/x ?
The answer to (x+4}{x-2}=\frac{-5)/x is x=1,x=-10
Solve for x: (x+4}{x-2}=\frac{-5)/x
The solution is x=1,x=-10