What is the answer to (3x-5)/(x(x-5))=0 ?

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

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(3x-5)/(x(x-5))=0

\frac{3 x - 5}{x ( x - 5 )} = 0

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

\frac{3 x - 5}{x ( x - 5 )} = 0

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

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 = 0, x = 5

Combine undefined points with solutions:

x = \frac{5}{3}

\frac{86.1}{61} = \frac{2.32}{x}

\frac{12}{x} - 5 x = - 17

\frac{180}{x} = 18

\frac{1}{2 x} = \frac{3}{x} - 1

\frac{x}{x - 2} = 8

What is the answer to (3x-5)/(x(x-5))=0 ?
The answer to (3x-5)/(x(x-5))=0 is x= 5/3
Solve for x: (3x-5)/(x(x-5))=0
The solution is x= 5/3