What is the answer to 1/x-1/(2(9-x))=0 ?

The answer to 1/x-1/(2(9-x))=0 is x=6

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1/x-1/(2(9-x))=0

\frac{1}{x} - \frac{1}{2 ( 9 - x )} = 0

x = 6

Solution steps

\frac{1}{x} - \frac{1}{2 ( 9 - x )} = 0

Multiply by LCM

- 3 x + 18 = 0

Move

18

to the right side

- 3 x = - 18

Divide both sides by

- 3

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 9

Combine undefined points with solutions:

x = 6

y, x = \frac{1 - y}{9 - 12 y}

\frac{3}{4 x - 1} = \frac{2}{4 x + 1}

\frac{1}{x + 2} + 3 = 5

t, f = \frac{1}{t}

- \frac{2 x}{( 1 + x ^{2} ) ^{2}} = 0