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

The answer to 3/(x+2)=3x-1 is x=(-5+sqrt(85))/6 ,x=(-5-sqrt(85))/6

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

The solution is x=(-5+sqrt(85))/6 ,x=(-5-sqrt(85))/6

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

x = \frac{- 5 + 85}{6}, x = \frac{- 5 - 85}{6}

Decimal Notation

x = 0.70325 \dots, x = - 2.36992 \dots

Solution steps

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

Multiply both sides by

x + 2

3 = 3 x (x + 2) - (x + 2)

Solve

3 = 3 x (x + 2) - (x + 2) : x = \frac{- 5 + 85}{6}, x = \frac{- 5 - 85}{6}

x = \frac{- 5 + 85}{6}, x = \frac{- 5 - 85}{6}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = \frac{- 5 + 85}{6}, x = \frac{- 5 - 85}{6}

\frac{2 q}{10 - 3 q} = 10 - 3 q

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

\frac{1}{x} = 8

\frac{4}{x} = \frac{5}{10}

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

What is the answer to 3/(x+2)=3x-1 ?
The answer to 3/(x+2)=3x-1 is x=(-5+sqrt(85))/6 ,x=(-5-sqrt(85))/6
Solve for x: 3/(x+2)=3x-1
The solution is x=(-5+sqrt(85))/6 ,x=(-5-sqrt(85))/6