What is the answer to x/(10)= 2/(5x) ?

The answer to x/(10)= 2/(5x) is x=2,x=-2

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x/(10)= 2/(5x)

\frac{x}{10} = \frac{2}{5 x}

x = 2, x = - 2

Solution steps

\frac{x}{10} = \frac{2}{5 x}

Cross multiply

5 x^{2} = 20

Solve

5 x^{2} = 20 : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 2

\frac{1}{4} = \frac{7}{a}

\frac{x + 6}{x} = \frac{10}{7}

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

4 = \frac{2}{x}

4 = \frac{5.2}{x}