What is the answer to 3x-1/2-1/x =0 ?

The answer to 3x-1/2-1/x =0 is x= 2/3 ,x=-1/2

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3x-1/2-1/x =0

3 x - \frac{1}{2} - \frac{1}{x} = 0

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

Solution steps

3 x - \frac{1}{2} - \frac{1}{x} = 0

Multiply by LCM

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

Solve

6 x^{2} - x - 2 = 0 : x = \frac{2}{3}, x = - \frac{1}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{1}{x} = \frac{1}{3}

a, b = \frac{h}{a}

\frac{4}{x - 1} = \frac{7}{x + 2}

f, t = \frac{1}{f}

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

What is the answer to 3x-1/2-1/x =0 ?
The answer to 3x-1/2-1/x =0 is x= 2/3 ,x=-1/2
Solve for x: 3x-1/2-1/x =0
The solution is x= 2/3 ,x=-1/2