What is the answer to 2/(x-5)+1/x =0 ?

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

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

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

x = \frac{5}{3}

Solution steps

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

Multiply by LCM

3 x - 5 = 0

Move

5

to the right side

3 x = 5

Divide both sides by

3

x = \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = 5, x = 0

Combine undefined points with solutions:

x = \frac{5}{3}

\frac{2 π}{b} = \frac{π}{2}

u, s = \frac{u}{a u + v}

3 + \frac{2}{3 x} = \frac{6}{x}

\frac{6}{x} + 1 = 5

\frac{1}{x - 8} = - \frac{1}{x - 9}