What is the answer to (4x)/5 = 1/(3x+2) ?

The answer to (4x)/5 = 1/(3x+2) is x=(-2+sqrt(19))/6 ,x=-(2+sqrt(19))/6

Solve for x: (4x)/5 = 1/(3x+2)

The solution is x=(-2+sqrt(19))/6 ,x=-(2+sqrt(19))/6

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\frac{4 x}{5} = \frac{1}{3 x + 2}

x = \frac{- 2 + 19}{6}, x = - \frac{2 + 19}{6}

Decimal Notation

x = 0.39314 \dots, x = - 1.05981 \dots

Solution steps

\frac{4 x}{5} = \frac{1}{3 x + 2}

Cross multiply

4 x (3 x + 2) = 5

Solve

4 x (3 x + 2) = 5 : x = \frac{- 2 + 19}{6}, x = - \frac{2 + 19}{6}

x = \frac{- 2 + 19}{6}, x = - \frac{2 + 19}{6}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{2}{3}

Combine undefined points with solutions:

x = \frac{- 2 + 19}{6}, x = - \frac{2 + 19}{6}

- \frac{20}{( x - 2 ) ^{2}} = - 5

\frac{1}{u} + \frac{2}{0.25} = 3

\frac{x ^{2} + 4 x + 3}{( x + 2 ) ^{2}} = 0

\frac{6}{x} = \frac{4}{2}

\frac{x}{( x + 24601 )} = 0.9090909

What is the answer to (4x)/5 = 1/(3x+2) ?
The answer to (4x)/5 = 1/(3x+2) is x=(-2+sqrt(19))/6 ,x=-(2+sqrt(19))/6
Solve for x: (4x)/5 = 1/(3x+2)
The solution is x=(-2+sqrt(19))/6 ,x=-(2+sqrt(19))/6