What is the answer to -6-2/x =-8x ?

The answer to -6-2/x =-8x is x=-1/4 ,x=1

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-6-2/x =-8x

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

x = - \frac{1}{4}, x = 1

Decimal Notation

x = - 0.25, x = 1

Solution steps

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

Multiply both sides by

x

- 6 x - 2 = - 8 x^{2}

Solve

- 6 x - 2 = - 8 x^{2} : x = - \frac{1}{4}, x = 1

x = - \frac{1}{4}, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{4}, x = 1

\frac{3 x + 1}{6 x - 2} = \frac{2 x + 5}{4 x - 13}

- \frac{3}{x ^{2} + 3 x} + 6 = \frac{1}{x + 3}

x - \frac{2 x + 3}{x + 5} = \frac{7}{x + 5}

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

6 x + 9 = \frac{13}{5 - x}