Find Where Undefined/Discontinuous 3/(5x)

$\frac{3}{5 x}$

Step 1

Set the denominator in $\frac{3}{5 x}$ equal to $0$ to find where the expression is undefined.

$5 x = 0$

Step 2

Divide each term in $5 x = 0$ by $5$ and simplify.

Divide each term in $5 x = 0$ by $5$ .

$\frac{5 x}{5} = \frac{0}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{0}{5}$

Divide $x$ by $1$ .

$x = \frac{0}{5}$

Simplify the right side.

Divide $0$ by $5$ .

$x = 0$

Step 3