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

The answer to 2/(x+2)+5/(3x)=4x is x=-1/2 ,x=(-9+sqrt(321))/(12),x=(-9-sqrt(321))/(12)

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

The solution is x=-1/2 ,x=(-9+sqrt(321))/(12),x=(-9-sqrt(321))/(12)

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

x = - \frac{1}{2}, x = \frac{- 9 + 321}{12}, x = \frac{- 9 - 321}{12}

Decimal Notation

x = - 0.5, x = 0.74303 \dots, x = - 2.24303 \dots

Solution steps

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

Multiply by LCM

6 x + 5 (x + 2) = 12 x^{2} (x + 2)

Solve

6 x + 5 (x + 2) = 12 x^{2} (x + 2) : x = - \frac{1}{2}, x = \frac{- 9 + 321}{12}, x = \frac{- 9 - 321}{12}

x = - \frac{1}{2}, x = \frac{- 9 + 321}{12}, x = \frac{- 9 - 321}{12}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

x = - \frac{1}{2}, x = \frac{- 9 + 321}{12}, x = \frac{- 9 - 321}{12}

\frac{2}{x} = \frac{x}{8}

x + \frac{2}{x} - 3 = 0

a, \frac{m}{a} = n + p

\frac{4}{2 x - 3} = \frac{2}{5}

\frac{x + 1}{x + 2} = 0

What is the answer to 2/(x+2)+5/(3x)=4x ?
The answer to 2/(x+2)+5/(3x)=4x is x=-1/2 ,x=(-9+sqrt(321))/(12),x=(-9-sqrt(321))/(12)
Solve for x: 2/(x+2)+5/(3x)=4x
The solution is x=-1/2 ,x=(-9+sqrt(321))/(12),x=(-9-sqrt(321))/(12)