What is the answer to -1-5/x =-6x ?

The answer to -1-5/x =-6x is x=-5/6 ,x=1

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-1-5/x =-6x

- 1 - \frac{5}{x} = - 6 x

x = - \frac{5}{6}, x = 1

Decimal Notation

x = - 0.83333 \dots, x = 1

Solution steps

- 1 - \frac{5}{x} = - 6 x

Multiply both sides by

x

- x - 5 = - 6 x^{2}

Solve

- x - 5 = - 6 x^{2} : x = - \frac{5}{6}, x = 1

x = - \frac{5}{6}, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{5}{6}, x = 1

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

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

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

\frac{r - 4}{3 r} = \frac{1}{5 r} + 1

\frac{7}{x} = \frac{2}{3}