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

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

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(3(9-2x))/x =x

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

x = 3, x = - 9

Solution steps

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

Multiply both sides by

x

3 (9 - 2 x) = x^{2}

Solve

3 (9 - 2 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{1}{x} - \frac{2 x}{x + 1} = 0

\frac{x ^{2} + 2}{x} = x + 2

x^{- 2} + 2 x^{- 1} - 24 = 0

\frac{2}{3 m + 2} = 0

\frac{n - 9}{n + 5} = \frac{7}{4}