What is the answer to (4x-1)/(x-6)=0 ?

The answer to (4x-1)/(x-6)=0 is x= 1/4

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(4x-1)/(x-6)=0

\frac{4 x - 1}{x - 6} = 0

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

\frac{4 x - 1}{x - 6} = 0

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

4 x - 1 = 0

Move

1

to the right side

4 x = 1

Divide both sides by

4

x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = \frac{1}{4}

400 = x - 4 \cdot \frac{400}{x}

a, p = \frac{w}{a}

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

\frac{4}{2 x} + \frac{7}{3 x} = 1

\frac{y + 6}{y} - \frac{8}{7} = 0