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

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

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(x+2)/(2x+1)=x

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

x = 1, x = - 1

Solution steps

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

Multiply both sides by

2 x + 1

x + 2 = x (2 x + 1)

Solve

x + 2 = x (2 x + 1) : x = 1, x = - 1

x = 1, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine undefined points with solutions:

x = 1, x = - 1

x, x - 81 x^{- 3} = 0

8 x^{- 3} = (8 x)^{3}

\frac{6}{4 x - 1} = \frac{2}{9}

\frac{8}{x} = \frac{16}{4}

\frac{8}{6} = \frac{2}{v}