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

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

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1/x+1/(x+4)=0

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

x = - 2

Solution steps

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

Multiply by LCM

2 x + 4 = 0

Move

4

to the right side

2 x = - 4

Divide both sides by

2

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 4

Combine undefined points with solutions:

x = - 2

\frac{1}{x} = - 2

\frac{1}{x} = 12

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

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

\frac{1}{x + 1} + 3 = \frac{10}{x + 1}