What is the answer to (32)/x = x/2 ?

The answer to (32)/x = x/2 is x=8,x=-8

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(32)/x = x/2

\frac{32}{x} = \frac{x}{2}

x = 8, x = - 8

Solution steps

\frac{32}{x} = \frac{x}{2}

Cross multiply

64 = x^{2}

Solve

64 = x^{2} : x = 8, x = - 8

x = 8, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 8, x = - 8

\frac{x + 5}{x - 1} = \frac{x}{2}

\frac{x ^{2} - 1}{x + 1} = x - 1

\frac{32}{x} = \frac{18}{12}

\frac{1}{5 m + 4} + 5 = - \frac{1}{3}

\frac{5}{x} = \frac{10}{4}