What is the answer to 2/(3x)-9/2 =6x ?

The answer to 2/(3x)-9/2 =6x is x=(-9+sqrt(145))/(24),x=-(9+sqrt(145))/(24)

Solve for x: 2/(3x)-9/2 =6x

The solution is x=(-9+sqrt(145))/(24),x=-(9+sqrt(145))/(24)

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\frac{2}{3 x} - \frac{9}{2} = 6 x

x = \frac{- 9 + 145}{24}, x = - \frac{9 + 145}{24}

Decimal Notation

x = 0.12673 \dots, x = - 0.87673 \dots

Solution steps

\frac{2}{3 x} - \frac{9}{2} = 6 x

Multiply by LCM

4 - 27 x = 36 x^{2}

Solve

4 - 27 x = 36 x^{2} : x = \frac{- 9 + 145}{24}, x = - \frac{9 + 145}{24}

x = \frac{- 9 + 145}{24}, x = - \frac{9 + 145}{24}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 9 + 145}{24}, x = - \frac{9 + 145}{24}

\frac{x}{4} = 1 - \frac{1}{x}

y, x = \frac{2 y + 1}{y - 1}

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

a^{- 1} = \frac{1}{a}

x^{- 2} - x^{- 1} - 12 = 0

What is the answer to 2/(3x)-9/2 =6x ?
The answer to 2/(3x)-9/2 =6x is x=(-9+sqrt(145))/(24),x=-(9+sqrt(145))/(24)
Solve for x: 2/(3x)-9/2 =6x
The solution is x=(-9+sqrt(145))/(24),x=-(9+sqrt(145))/(24)