What is the answer to -7-3/x =-6x ?

The answer to -7-3/x =-6x is x=-1/3 ,x= 3/2

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-7-3/x =-6x

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

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

Decimal Notation

x = - 0.33333 \dots, x = 1.5

Solution steps

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

Multiply both sides by

x

- 7 x - 3 = - 6 x^{2}

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{x ^{2} + x + 4}{2 x + 1} = \frac{4}{x}

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

4 - \frac{1}{x ^{2}} = 0

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

\frac{1}{6} + \frac{1}{9} = \frac{1}{x}