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

The answer to x/(x+1)=3x is x=0,x=-2/3

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x/(x+1)=3x

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

x = 0, x = - \frac{2}{3}

Decimal Notation

x = 0, x = - 0.66666 \dots

Solution steps

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

Multiply both sides by

x + 1

x = 3 x (x + 1)

Solve

x = 3 x (x + 1) : x = 0, x = - \frac{2}{3}

x = 0, x = - \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 0, x = - \frac{2}{3}

z = \frac{3}{( 2 - z ) ^{2}}

\frac{9}{4} = \frac{r - 10}{r}

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

x, c = \frac{y - x}{y + x}

\frac{2 x + 5}{9 x} = x