What is the answer to 9/x-2= x/3 ?

The answer to 9/x-2= x/3 is x=3,x=-9

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9/x-2= x/3

\frac{9}{x} - 2 = \frac{x}{3}

x = 3, x = - 9

Solution steps

\frac{9}{x} - 2 = \frac{x}{3}

Multiply by LCM

27 - 6 x = x^{2}

Solve

27 - 6 x = x^{2} : x = 3, x = - 9

x = 3, x = - 9

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = - 9

\frac{12 + x}{20 + x} = 0.9

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

4 x^{3} = 2 x^{- 1}

4 = \frac{20}{x}

\frac{2}{y - 4} = \frac{10}{y + 4}