What is the answer to 1-2/x =-6x ?

The answer to 1-2/x =-6x is x=-2/3 ,x= 1/2

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1-2/x =-6x

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

x = - \frac{2}{3}, x = \frac{1}{2}

Decimal Notation

x = - 0.66666 \dots, x = 0.5

Solution steps

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

Multiply both sides by

x

x - 2 = - 6 x^{2}

Solve

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

x = - \frac{2}{3}, x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{2}{3}, x = \frac{1}{2}

\frac{5}{x ^{2} + x - 6} = 2 + \frac{x - 3}{x - 2}

x + \frac{9 x}{x - 8} = \frac{72}{x - 8}

1 + \frac{2 x}{x + 4} = - \frac{8}{x + 4}

3.5 = \frac{4 + 2 x}{0.5 - x}

\frac{10}{x} = \frac{2}{9}