What is the answer to x=(-8x-15)/x ?

The answer to x=(-8x-15)/x is x=-3,x=-5

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x=(-8x-15)/x

x = \frac{- 8 x - 15}{x}

x = - 3, x = - 5

Solution steps

x = \frac{- 8 x - 15}{x}

Multiply both sides by

x

x^{2} = - 8 x - 15

Solve

x^{2} = - 8 x - 15 : x = - 3, x = - 5

x = - 3, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 3, x = - 5

\frac{8 x}{28 x} = \frac{x}{2}

\frac{2 x - 1}{x + 3} = 0

\frac{2}{v + 6} = \frac{14}{10}

\frac{15}{5} = \frac{20}{x}

\frac{4}{6} = \frac{2}{x}