What is the answer to x=(x+2)/(3x+1) ?

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

Solve for x: x=(x+2)/(3x+1)

The solution is x=sqrt(2/3),x=-sqrt(2/3)

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

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

Decimal Notation

x = 0.81649 \dots, x = - 0.81649 \dots

Solution steps

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

Multiply both sides by

3 x + 1

x (3 x + 1) = x + 2

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{3}

Combine undefined points with solutions:

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

\frac{4}{5} = \frac{12}{x}

\frac{- 18}{( - 3 ) + 4 x} = 2 (- 4) + 2 x + 4

\frac{1 - 3 x}{4 x - 2} = - \frac{5}{8}

\frac{8}{2 x + 12} = \frac{6}{x + 8}

\frac{1}{x} + \frac{8}{x - 4} = 0

What is the answer to x=(x+2)/(3x+1) ?
The answer to x=(x+2)/(3x+1) is x=sqrt(2/3),x=-sqrt(2/3)
Solve for x: x=(x+2)/(3x+1)
The solution is x=sqrt(2/3),x=-sqrt(2/3)