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

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

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

The solution is x=(-3+2sqrt(6))/5 ,x=-(3+2sqrt(6))/5

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

x = \frac{- 3 + 2 6}{5}, x = - \frac{3 + 2 6}{5}

Decimal Notation

x = 0.37979 \dots, x = - 1.57979 \dots

Solution steps

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

Cross multiply

4 = (5 x + 1) (x + 1)

Solve

4 = (5 x + 1) (x + 1) : x = \frac{- 3 + 2 6}{5}, x = - \frac{3 + 2 6}{5}

x = \frac{- 3 + 2 6}{5}, x = - \frac{3 + 2 6}{5}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{5}

Combine undefined points with solutions:

x = \frac{- 3 + 2 6}{5}, x = - \frac{3 + 2 6}{5}

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

r, s = \frac{a}{a - r}

4 x + 9 = \frac{18 - 1}{2 x}

\frac{27}{x} = \frac{20}{40}

A, Z = \frac{( B - Y )}{A}

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