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

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

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3/(x-1)-1/x =0

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

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

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

Multiply by LCM

2 x + 1 = 0

Move

1

to the right side

2 x = - 1

Divide both sides by

2

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

x = - \frac{1}{2}

\frac{7}{3} = \frac{21}{x}

0.15 = \frac{75}{75 + x}

\frac{5}{x} = \frac{x}{20}

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

\frac{5}{3 x + 6} = \frac{6}{2 x - 4}