What is the answer to x-4/(3x)=-1/3 ?

The answer to x-4/(3x)=-1/3 is x=1,x=-4/3

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x-4/(3x)=-1/3

x - \frac{4}{3 x} = - \frac{1}{3}

x = 1, x = - \frac{4}{3}

Solution steps

x - \frac{4}{3 x} = - \frac{1}{3}

Multiply by LCM

3 x^{2} - 4 = - x

Solve

3 x^{2} - 4 = - x : x = 1, x = - \frac{4}{3}

x = 1, x = - \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - \frac{4}{3}

\frac{- 4 ( 2 m + 5 ) - 3}{4 m} = 22

\frac{3}{1080} = \frac{4}{x}

5.5 = \frac{55.4 - 10.7}{x}

\frac{1}{x - 3} = \frac{3}{x - 5}

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