Find Where Undefined/Discontinuous 6/(7x)

$\frac{6}{7 x}$

Step 1

Set the denominator in $\frac{6}{7 x}$ equal to $0$ to find where the expression is undefined.

$7 x = 0$

Step 2

Divide each term in $7 x = 0$ by $7$ and simplify.

Divide each term in $7 x = 0$ by $7$ .

$\frac{7 x}{7} = \frac{0}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{0}{7}$

Divide $x$ by $1$ .

$x = \frac{0}{7}$

Simplify the right side.

Divide $0$ by $7$ .

$x = 0$

Step 3