What is the answer to x/(x+4)=-3 ?

The answer to x/(x+4)=-3 is x=-3

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x/(x+4)=-3

\frac{x}{x + 4} = - 3

x = - 3

Solution steps

\frac{x}{x + 4} = - 3

Multiply both sides by

x + 4

x = - 3 (x + 4)

Expand

- 3 (x + 4) : - 3 x - 12

x = - 3 x - 12

Move

3 x

to the left side

4 x = - 12

Divide both sides by

4

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - 3

\frac{x ^{2} + 4 x - 3}{x + 2} = 0

\frac{20}{x} - 2 x = - 3

\frac{3}{2 x ^{2} - 4 x + 2} = 60

\frac{1}{2 x} + \frac{x}{4} = 2

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