What is the answer to 1/(5m)=(-2)/3 ?

The answer to 1/(5m)=(-2)/3 is m=-3/10

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1/(5m)=(-2)/3

\frac{1}{5 m} = \frac{- 2}{3}

m = - \frac{3}{10}

Solution steps

\frac{1}{5 m} = \frac{- 2}{3}

Cross multiply

3 = - 10 m

Switch sides

- 10 m = 3

Divide both sides by

- 10

m = - \frac{3}{10}

Verify Solutions

Find undefined (singularity) points:

m = 0

Combine undefined points with solutions:

m = - \frac{3}{10}

\frac{4}{x} + x = 5

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

a^{- n} = \frac{1}{a ^{n}}

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

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