What is the answer to 1-8/(x^2+6x)=-x/(x+6) ?

The answer to 1-8/(x^2+6x)=-x/(x+6) is x=1,x=-4

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1-8/(x^2+6x)=-x/(x+6)

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

x = 1, x = - 4

Solution steps

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

Multiply by LCM

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

Solve

x (x + 6) - 8 = - x^{2} : x = 1, x = - 4

x = 1, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 6, x = 0

Combine undefined points with solutions:

x = 1, x = - 4

\frac{7 x - 1}{x ^{2} + 9} = 1

\frac{5 x}{x - 3} - 1 = - \frac{1}{x - 3}

\frac{8}{x} = \frac{x}{2}

- \frac{1}{x ^{2}} = - \frac{1}{7}

19.11969 = 19.62 x + (\frac{1.5}{3 x})^{2}

What is the answer to 1-8/(x^2+6x)=-x/(x+6) ?
The answer to 1-8/(x^2+6x)=-x/(x+6) is x=1,x=-4
Solve for x: 1-8/(x^2+6x)=-x/(x+6)
The solution is x=1,x=-4