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

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

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

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

x = - 1

Solution steps

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

Multiply by LCM

- 1 - x = 0

Move

1

to the right side

- x = 1

Divide both sides by

- 1

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1

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

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

\frac{7}{3 x} - \frac{13}{4 x} = 1

q, 2 q + 380 = q + 380 + \frac{2500}{q}

y, z = \frac{1}{y - g}