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

The answer to -2= 1/(x+1) is x=-3/2

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-2= 1/(x+1)

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

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

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

Multiply both sides by

x + 1

- 2 (x + 1) = 1

Divide both sides by

- 2

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

Move

1

to the right side

x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - \frac{3}{2}

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

x = \frac{3 x}{x ^{2} - 5}

2 = \frac{( x - 2 ) ^{2}}{( x + 3 ) ( x + 2 )}

\frac{- 3 + m}{m - 2} = \frac{10}{3}

\frac{2}{x - 2} = \frac{8}{x + 13}