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

The answer to 3/(2x)-9/2 =6x is x= 1/4 ,x=-1

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3/(2x)-9/2 =6x

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

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

Decimal Notation

x = 0.25, x = - 1

Solution steps

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

Multiply by LCM

3 - 9 x = 12 x^{2}

Solve

3 - 9 x = 12 x^{2} : x = \frac{1}{4}, x = - 1

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

x^{- 2} + 5 x^{- 1} - 6 = 0

\frac{1}{x - 2} = - 4

\frac{10}{m} - \frac{10}{m + 5} = 1

\frac{3}{x + 2} - 2 = \frac{11}{x + 2}

30 + x = \frac{2}{x} + \frac{8}{x + 1}

What is the answer to 3/(2x)-9/2 =6x ?
The answer to 3/(2x)-9/2 =6x is x= 1/4 ,x=-1
Solve for x: 3/(2x)-9/2 =6x
The solution is x= 1/4 ,x=-1