Find Where Undefined/Discontinuous (a^2)/(2a+6)

$\frac{a^{2}}{2 a + 6}$

Step 1

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

$2 a + 6 = 0$

Step 2

Solve for $a$ .

Subtract $6$ from both sides of the equation.

$2 a = - 6$

Divide each term in $2 a = - 6$ by $2$ and simplify.

Divide each term in $2 a = - 6$ by $2$ .

$\frac{2 a}{2} = \frac{- 6}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 a}{2} = \frac{- 6}{2}$

Divide $a$ by $1$ .

$a = \frac{- 6}{2}$

Simplify the right side.

Divide $- 6$ by $2$ .

$a = - 3$

Step 3