What is the answer to x+1/x+2=0 ?

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

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x+1/x+2=0

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

x = - 1

Solution steps

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

Multiply both sides by

x

x^{2} + 1 + 2 x = 0

Solve

x^{2} + 1 + 2 x = 0 : x = - 1

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1

\frac{2}{x} + \frac{1}{2 x} = 7

m, \frac{r + 5}{mn} = p

\frac{8}{x} = 4

4 = \frac{6}{x}

\frac{5}{y + 3} - 2 = \frac{5}{y + 3}