What is the answer to (3x-1)/(x-6)=0 ?

The answer to (3x-1)/(x-6)=0 is x= 1/3

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(3x-1)/(x-6)=0

\frac{3 x - 1}{x - 6} = 0

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

\frac{3 x - 1}{x - 6} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

3 x - 1 = 0

Move

1

to the right side

3 x = 1

Divide both sides by

3

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = \frac{1}{3}

\frac{21}{x} = \frac{6}{2}

\frac{5}{x - 8} = 0

\frac{2 z}{z + 2} = 4

\frac{5.8}{x} - 62 = - 4

(x^{- 1})^{- 1} = x