What is the answer to 1/x+5/(x-9)=0 ?

The answer to 1/x+5/(x-9)=0 is x= 3/2

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1/x+5/(x-9)=0

\frac{1}{x} + \frac{5}{x - 9} = 0

x = \frac{3}{2}

Decimal

x = 1.5

Solution steps

\frac{1}{x} + \frac{5}{x - 9} = 0

Multiply by LCM

6 x - 9 = 0

Move

9

to the right side

6 x = 9

Divide both sides by

6

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 9

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{- 2}{3 x + 15} = - 20

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

\frac{2 x + 1}{2 x - 1} - \frac{2 x - 1}{2 x + 1} = 6

\frac{2}{( x + 1 ) ^{2}} = \frac{1}{2}

\frac{2}{m} + \frac{3 m}{2} = 7