What is the answer to 7x^{-2}x=5 ?

The answer to 7x^{-2}x=5 is x= 7/5

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7x^{-2}x=5

7 x^{- 2} x = 5

x = \frac{7}{5}

Decimal Notation

x = 1.4

Solution steps

7 x^{- 2} x = 5

Refine

\frac{7}{x} = 5

Multiply both sides by

x

7 = 5 x

Switch sides

5 x = 7

Divide both sides by

5

x = \frac{7}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{7}{5}

y, x = \frac{2 y - 4}{y - 5}

\frac{9}{2} = \frac{5}{x + 1}

\frac{x}{3} = \frac{507}{x}

(x - 4) (\frac{150}{x} + 9) = 209

\frac{3}{x + 1} = \frac{1}{6}