What is the answer to 9/(x+1)+3=-3 ?

The answer to 9/(x+1)+3=-3 is x=-5/2

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9/(x+1)+3=-3

\frac{9}{x + 1} + 3 = - 3

x = - \frac{5}{2}

Decimal Notation

x = - 2.5

Solution steps

\frac{9}{x + 1} + 3 = - 3

Move

3

to the right side

\frac{9}{x + 1} = - 6

Multiply both sides by

x + 1

9 = - 6 (x + 1)

Switch sides

- 6 (x + 1) = 9

Divide both sides by

- 6

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

Move

1

to the right side

x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - \frac{5}{2}

\frac{1 + a}{1 - a} = \frac{- 2}{z}

u + u^{- 1} = \frac{5}{2}

\frac{2}{x - 4} + \frac{x + 1}{3} = 5

a^{2} = \frac{- k ^{2}}{1 - k}

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