Find Where Undefined/Discontinuous (5v)/(3v+12)

$\frac{5 v}{3 v + 12}$

Step 1

Set the denominator in $\frac{5 v}{3 v + 12}$ equal to $0$ to find where the expression is undefined.

$3 v + 12 = 0$

Step 2

Solve for $v$ .

Subtract $12$ from both sides of the equation.

$3 v = - 12$

Divide each term in $3 v = - 12$ by $3$ and simplify.

Divide each term in $3 v = - 12$ by $3$ .

$\frac{3 v}{3} = \frac{- 12}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 v}{3} = \frac{- 12}{3}$

Divide $v$ by $1$ .

$v = \frac{- 12}{3}$

Simplify the right side.

Divide $- 12$ by $3$ .

$v = - 4$

Step 3