What is the answer to x/2 = 1/(5x+6) ?

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

Solve for x: x/2 = 1/(5x+6)

The solution is x=(-3+sqrt(19))/5 ,x=-(3+sqrt(19))/5

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\frac{x}{2} = \frac{1}{5 x + 6}

x = \frac{- 3 + 19}{5}, x = - \frac{3 + 19}{5}

Decimal Notation

x = 0.27177 \dots, x = - 1.47177 \dots

Solution steps

\frac{x}{2} = \frac{1}{5 x + 6}

Cross multiply

x (5 x + 6) = 2

Solve

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

x = \frac{- 3 + 19}{5}, x = - \frac{3 + 19}{5}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{6}{5}

Combine undefined points with solutions:

x = \frac{- 3 + 19}{5}, x = - \frac{3 + 19}{5}

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

3 (x + 1)^{- 2} = 1

v, c = \frac{q}{v}

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

\frac{1}{x} = \frac{5}{30}

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