What is the answer to 2/x =2x^{-1} ?

The answer to 2/x =2x^{-1} is x\ne 0

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2/x =2x^{-1}

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

x \neq = 0

Solution steps

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

Refine

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

Subtract

\frac{2}{x}

from both sides

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

Simplify

0 = 0

Both sides are equal

True for all x

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x \neq = 0

c = 3 \cdot 1 0^{8} \frac{m}{s}

x^{2} + x^{- 2} - 6 = 0

0.27 = \frac{3}{x}

\frac{- 3}{- 9 x - 7} - 9 = 6

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