What is the answer to 0=-1/(x^2)+1/x ?

The answer to 0=-1/(x^2)+1/x is x=1

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0=-1/(x^2)+1/x

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

x = 1

Solution steps

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

Multiply by LCM

0 = - 1 + x

Switch sides

- 1 + x = 0

Move

1

to the right side

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1

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

1 - x^{- 2} = 0

\frac{2}{x + 1} + \frac{1}{x + 1} = 3

f, T = \frac{1}{f}

\frac{1}{x - 3} = \frac{x + 2}{7 x + 14}