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

The answer to 2/x+1/(x-2)=0 is x= 4/3

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

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

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

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

Multiply by LCM

3 x - 4 = 0

Move

4

to the right side

3 x = 4

Divide both sides by

3

x = \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Combine undefined points with solutions:

x = \frac{4}{3}

a, z = \frac{a - m}{a}

c = \frac{π}{x}

\frac{x - 2}{4} = \frac{7}{x + 2}

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

n, \frac{n + 7}{n - 4} = 2 s