What is the answer to 4x^{-1}=16 ?

The answer to 4x^{-1}=16 is x= 1/4

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4x^{-1}=16

4 x^{- 1} = 16

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

4 x^{- 1} = 16

Refine

\frac{4}{x} = 16

Multiply both sides by

x

4 = 16 x

Switch sides

16 x = 4

Divide both sides by

16

x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}

\frac{9}{x} = \frac{2}{6}

\frac{x ^{8} - x ^{2}}{x ^{4} - x ^{2}} = 9

\frac{6}{x - 3} - 6 = - 12

x^{2} + 6 x - 2 - \frac{35}{x ^{2} + 6 x} = 0

t, \frac{r}{t} = d + 10