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

The answer to x/(3x+2)= 2/(x+1) is x=(5+sqrt(41))/2 ,x=(5-sqrt(41))/2

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

The solution is x=(5+sqrt(41))/2 ,x=(5-sqrt(41))/2

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

x = \frac{5 + 41}{2}, x = \frac{5 - 41}{2}

Decimal Notation

x = 5.70156 \dots, x = - 0.70156 \dots

Solution steps

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

Cross multiply

x (x + 1) = (3 x + 2) \cdot 2

Solve

x (x + 1) = (3 x + 2) \cdot 2 : x = \frac{5 + 41}{2}, x = \frac{5 - 41}{2}

x = \frac{5 + 41}{2}, x = \frac{5 - 41}{2}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{2}{3}, x = - 1

Combine undefined points with solutions:

x = \frac{5 + 41}{2}, x = \frac{5 - 41}{2}

n \cdot \frac{1}{θ} = 0

\frac{20 x ^{5}}{4 x ^{2}} = x

\frac{2}{x} = \frac{15}{30}

\frac{2}{x} = \frac{x}{2}

\frac{9 x}{7 - 6 x} = 15

What is the answer to x/(3x+2)= 2/(x+1) ?
The answer to x/(3x+2)= 2/(x+1) is x=(5+sqrt(41))/2 ,x=(5-sqrt(41))/2
Solve for x: x/(3x+2)= 2/(x+1)
The solution is x=(5+sqrt(41))/2 ,x=(5-sqrt(41))/2