What is the answer to 7x^{-2}x=4 ?

The answer to 7x^{-2}x=4 is x= 7/4

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7x^{-2}x=4

7 x^{- 2} x = 4

x = \frac{7}{4}

Decimal Notation

x = 1.75

Solution steps

7 x^{- 2} x = 4

Refine

\frac{7}{x} = 4

Multiply both sides by

x

7 = 4 x

Switch sides

4 x = 7

Divide both sides by

4

x = \frac{7}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{7}{4}

7 x^{- 2} x = 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