What is the answer to 1/(x-6)= x/(x+8) ?

The answer to 1/(x-6)= x/(x+8) is x=8,x=-1

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1/(x-6)= x/(x+8)

\frac{1}{x - 6} = \frac{x}{x + 8}

x = 8, x = - 1

Solution steps

\frac{1}{x - 6} = \frac{x}{x + 8}

Cross multiply

x + 8 = (x - 6) x

Solve

x + 8 = (x - 6) x : x = 8, x = - 1

x = 8, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 6, x = - 8

Combine undefined points with solutions:

x = 8, x = - 1

8 - \frac{1}{t} = \frac{7}{t ^{2}}

- 1.645 = \frac{( 15 - 12 )}{x}

k = \frac{5}{9 ( f - 32 ) + 273.15}

1 + \frac{9 x}{x - 6} = \frac{4}{x - 6}

\frac{4}{w} + 3 = 5

What is the answer to 1/(x-6)= x/(x+8) ?
The answer to 1/(x-6)= x/(x+8) is x=8,x=-1
Solve for x: 1/(x-6)= x/(x+8)
The solution is x=8,x=-1