What is the answer to -1-7/x =-6x ?

The answer to -1-7/x =-6x is x=-1,x= 7/6

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-1-7/x =-6x

- 1 - \frac{7}{x} = - 6 x

x = - 1, x = \frac{7}{6}

Decimal Notation

x = - 1, x = 1.16666 \dots

Solution steps

- 1 - \frac{7}{x} = - 6 x

Multiply both sides by

x

- x - 7 = - 6 x^{2}

Solve

- x - 7 = - 6 x^{2} : x = - 1, x = \frac{7}{6}

x = - 1, x = \frac{7}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1, x = \frac{7}{6}

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

\frac{28}{x} = \frac{24}{x - 12}

\frac{8}{y} = \frac{2}{y - 2} + 1

\frac{6}{x + 5} = \frac{3}{x - 10}

\frac{x}{3} - \frac{6}{x} = 1