What is the answer to 3/(7x-1)+1/x =0 ?

The answer to 3/(7x-1)+1/x =0 is x= 1/10

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3/(7x-1)+1/x =0

\frac{3}{7 x - 1} + \frac{1}{x} = 0

x = \frac{1}{10}

Decimal Notation

x = 0.1

Solution steps

\frac{3}{7 x - 1} + \frac{1}{x} = 0

Multiply by LCM

10 x - 1 = 0

Move

1

to the right side

10 x = 1

Divide both sides by

10

x = \frac{1}{10}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{7}, x = 0

Combine undefined points with solutions:

x = \frac{1}{10}

\frac{x ^{2} - 64}{8 x - x ^{2}} = 0

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

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

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

\frac{2 x}{x - 12} = \frac{- 2}{x + 3}

What is the answer to 3/(7x-1)+1/x =0 ?
The answer to 3/(7x-1)+1/x =0 is x= 1/10
Solve for x: 3/(7x-1)+1/x =0
The solution is x= 1/10