What is the answer to 3x-2/x =5 ?

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

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3x-2/x =5

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

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

Solution steps

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

Multiply both sides by

x

3 x^{2} - 2 = 5 x

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{( - 2 x ^{2} + 5 x - 1 )}{2 x - 1} = 0

16 x^{- 4} - 17 x^{- 2} + 1 = 0

\frac{7}{x} = \frac{20}{5}

\frac{x}{x + 4} + 1 = \frac{16}{x + 4}

\frac{2}{x} = (1.2)