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

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

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

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

x = - 1

Solution steps

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

Multiply by LCM

2 x + x^{2} = - 1

Solve

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

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1

\frac{1}{( x - 2 ) ^{2}} = a

\frac{3}{2} = \frac{5}{7 x}

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

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

\frac{3}{z} = \frac{1}{8}