What is the answer to 1/(2x)=2x ?

The answer to 1/(2x)=2x is x= 1/2 ,x=-1/2

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1/(2x)=2x

\frac{1}{2 x} = 2 x

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

Decimal Notation

x = 0.5, x = - 0.5

Solution steps

\frac{1}{2 x} = 2 x

Multiply both sides by

x

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{x}{x + 9} = \frac{7}{6}

\frac{1}{2 x} = 20

\frac{1}{2 x} = 12

138 = \frac{180 ( n - 2 )}{n}

\frac{81.1}{2.47} = \frac{59}{b}