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

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

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1/x-3x=((2-x))/3

\frac{1}{x} - 3 x = \frac{( 2 - x )}{3}

x = - \frac{3}{4}, x = \frac{1}{2}

Decimal Notation

x = - 0.75, x = 0.5

Solution steps

\frac{1}{x} - 3 x = \frac{( 2 - x )}{3}

Multiply by LCM

3 - 9 x^{2} = x (2 - x)

Solve

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

x = - \frac{3}{4}, x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{3}{4}, x = \frac{1}{2}

\frac{45}{x} = 15

\frac{1}{1 + a} = 1 + \frac{1}{a}

0.7 = \frac{200}{x}

20 = \frac{100 A}{- 1 + A}

2 x - 2000 x^{- 2} = 0

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