What is the answer to 6/x-1/(1-x)=0 ?

The answer to 6/x-1/(1-x)=0 is x= 6/7

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

\frac{6}{x} - \frac{1}{1 - x} = 0

x = \frac{6}{7}

Decimal Notation

x = 0.85714 \dots

Solution steps

\frac{6}{x} - \frac{1}{1 - x} = 0

Multiply by LCM

- 7 x + 6 = 0

Move

6

to the right side

- 7 x = - 6

Divide both sides by

- 7

x = \frac{6}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = \frac{6}{7}

\frac{2}{3 w} + \frac{7}{5 w} = 1

\frac{18}{d} = 3

\frac{4}{x} - 5 = \frac{6}{9}

a, \frac{5 + b}{1 - a} = 3 b

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