What is the answer to 8-7/(x^2+6x)= x/(x+6) ?

The answer to 8-7/(x^2+6x)= x/(x+6) is x= 1/7 ,x=-7

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8-7/(x^2+6x)= x/(x+6)

8 - \frac{7}{x ^{2} + 6 x} = \frac{x}{x + 6}

x = \frac{1}{7}, x = - 7

Decimal Notation

x = 0.14285 \dots, x = - 7

Solution steps

8 - \frac{7}{x ^{2} + 6 x} = \frac{x}{x + 6}

Multiply by LCM

8 x (x + 6) - 7 = x^{2}

Solve

8 x (x + 6) - 7 = x^{2} : x = \frac{1}{7}, x = - 7

x = \frac{1}{7}, x = - 7

Verify Solutions

Find undefined (singularity) points:

x = - 6, x = 0

Combine undefined points with solutions:

x = \frac{1}{7}, x = - 7

\frac{2 q}{2 q + 3} - \frac{2 q}{2 q - 3} = 1

\frac{3}{7 x - 1} + \frac{1}{x} = 0

\frac{x ^{2} - 64}{8 x - x ^{2}} = 0

\frac{4}{x - 1} - \frac{4}{x ^{2} - x} = 2

\frac{x - 1}{x - 3} = \frac{2}{x - 3}

What is the answer to 8-7/(x^2+6x)= x/(x+6) ?
The answer to 8-7/(x^2+6x)= x/(x+6) is x= 1/7 ,x=-7
Solve for x: 8-7/(x^2+6x)= x/(x+6)
The solution is x= 1/7 ,x=-7