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

The answer to -5+1/x =-6x is x= 1/3 ,x= 1/2

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-5+1/x =-6x

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

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

Solution steps

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

Multiply both sides by

x

- 5 x + 1 = - 6 x^{2}

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

7.37 = \frac{2 x}{0.5 - x}

\frac{3}{2 ( x - 2 ) - 5} = 19

\frac{25}{p - 16} = \frac{9}{p}

10 + (\frac{1}{x} - 2) = 20

4 = \frac{9.6}{x}