Find Where Undefined/Discontinuous (a^2)/(3a-6)

$\frac{a^{2}}{3 a - 6}$

Step 1

Set the denominator in $\frac{a^{2}}{3 a - 6}$ equal to $0$ to find where the expression is undefined.

$3 a - 6 = 0$

Step 2

Solve for $a$ .

Add $6$ to both sides of the equation.

$3 a = 6$

Divide each term in $3 a = 6$ by $3$ and simplify.

Divide each term in $3 a = 6$ by $3$ .

$\frac{3 a}{3} = \frac{6}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 a}{3} = \frac{6}{3}$

Divide $a$ by $1$ .

$a = \frac{6}{3}$

Simplify the right side.

Divide $6$ by $3$ .

$a = 2$

Step 3