Find Where Undefined/Discontinuous (x^2-36)/(4x+24)

$\frac{x^{2} - 36}{4 x + 24}$

Step 1

Set the denominator in $\frac{x^{2} - 36}{4 x + 24}$ equal to $0$ to find where the expression is undefined.

$4 x + 24 = 0$

Step 2

Solve for $x$ .

Subtract $24$ from both sides of the equation.

$4 x = - 24$

Divide each term in $4 x = - 24$ by $4$ and simplify.

Divide each term in $4 x = - 24$ by $4$ .

$\frac{4 x}{4} = \frac{- 24}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{- 24}{4}$

Divide $x$ by $1$ .

$x = \frac{- 24}{4}$

Simplify the right side.

Divide $- 24$ by $4$ .

$x = - 6$

Step 3