What is the answer to 2+1/(x+4)=0 ?

The answer to 2+1/(x+4)=0 is x=-9/2

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2+1/(x+4)=0

2 + \frac{1}{x + 4} = 0

x = - \frac{9}{2}

Decimal Notation

x = - 4.5

Solution steps

2 + \frac{1}{x + 4} = 0

Multiply both sides by

x + 4

2 (x + 4) + 1 = 0

Move

1

to the right side

2 (x + 4) = - 1

Divide both sides by

2

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

Move

4

to the right side

x = - \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - \frac{9}{2}

\frac{12}{3} = \frac{36}{x}

997773 = \frac{99122}{x}

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

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

\frac{3 x}{4} = \frac{0.27}{3 x}