What is the answer to 1/x+8/(x-4)=0 ?

The answer to 1/x+8/(x-4)=0 is x= 4/9

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1/x+8/(x-4)=0

\frac{1}{x} + \frac{8}{x - 4} = 0

x = \frac{4}{9}

Decimal Notation

x = 0.44444 \dots

Solution steps

\frac{1}{x} + \frac{8}{x - 4} = 0

Multiply by LCM

9 x - 4 = 0

Move

4

to the right side

9 x = 4

Divide both sides by

9

x = \frac{4}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 4

Combine undefined points with solutions:

x = \frac{4}{9}

\frac{4}{x} = \frac{8}{5 x} + 4

N, 5 d + g = \frac{b}{N}

k + \frac{12}{k} = 8

\frac{- 15}{4 x + 1} = x - 4

\frac{( 4 x - 1 ) ( 2 x + 3 )}{18 x - 4} = 0