What is the answer to x/9 = 8/(2x) ?

The answer to x/9 = 8/(2x) is x=6,x=-6

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x/9 = 8/(2x)

\frac{x}{9} = \frac{8}{2 x}

x = 6, x = - 6

Solution steps

\frac{x}{9} = \frac{8}{2 x}

Cross multiply

x^{2} = 36

Solve

x^{2} = 36 : x = 6, x = - 6

x = 6, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = - 6

\frac{4}{x} = \frac{18}{5 x} + 2

\frac{y}{y - 4} - 6 = \frac{4}{y - 4}

\frac{1}{x - 3} + 5 = \frac{26}{x - 3}

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

\frac{4}{x + 3} + \frac{2}{x - 4} = 1