What is the answer to 5/x-5/(1-x)=0 ?

The answer to 5/x-5/(1-x)=0 is x= 1/2

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5/x-5/(1-x)=0

\frac{5}{x} - \frac{5}{1 - x} = 0

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

\frac{5}{x} - \frac{5}{1 - x} = 0

Multiply by LCM

- 10 x + 5 = 0

Move

5

to the right side

- 10 x = - 5

Divide both sides by

- 10

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = \frac{1}{2}

13 = 3 x^{2} + \frac{4}{x ^{2}}

\frac{25}{49} = \frac{196}{x}

\frac{1.5}{7.5} = \frac{3}{x}

\frac{1}{x} - \frac{2}{x - 5} = 0

e = \frac{a - re}{e - r}