What is the answer to 1/x+5/(x-7)=0 ?

The answer to 1/x+5/(x-7)=0 is x= 7/6

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1/x+5/(x-7)=0

\frac{1}{x} + \frac{5}{x - 7} = 0

x = \frac{7}{6}

Decimal Notation

x = 1.16666 \dots

Solution steps

\frac{1}{x} + \frac{5}{x - 7} = 0

Multiply by LCM

6 x - 7 = 0

Move

7

to the right side

6 x = 7

Divide both sides by

6

x = \frac{7}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 7

Combine undefined points with solutions:

x = \frac{7}{6}

b^{- 2} = 0.25

\frac{10}{x} = \frac{5}{7}

\frac{6}{n - 1} + 1 = \frac{6}{n - 1}

5 = \frac{10 + a x}{x}

\frac{1}{- x ^{4}} = 3377024