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

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

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x^{-1}=-4

x^{- 1} = - 4

x = - \frac{1}{4}

Decimal Notation

x = - 0.25

Solution steps

x^{- 1} = - 4

Refine

\frac{1}{x} = - 4

Multiply both sides by

x

1 = - 4 x

Switch sides

- 4 x = 1

Divide both sides by

- 4

x = - \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{4}

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

x - \frac{7}{x - 8} = \frac{2}{x - 8}

\frac{- 3}{8 r + 41} = - 22

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

\frac{1}{18} = \frac{5}{- 4 ( x - 1 )}