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

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

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

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

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

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

Multiply by LCM

2 x + 1 = 0

Move

1

to the right side

2 x = - 1

Divide both sides by

2

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x = - \frac{1}{2}

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

1290 = \frac{k}{10} + \frac{h}{s}

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

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

\frac{x ^{2}}{x + 100} = 50

What is the answer to (x+1)/x-x/(x+1)=0 ?
The answer to (x+1)/x-x/(x+1)=0 is x=-1/2
Solve for x: (x+1)/x-x/(x+1)=0
The solution is x=-1/2