Find Where Undefined/Discontinuous (27z^3-64)/(3z-4)

$\frac{27 z^{3} - 64}{3 z - 4}$

Step 1

Set the denominator in $\frac{27 z^{3} - 64}{3 z - 4}$ equal to $0$ to find where the expression is undefined.

$3 z - 4 = 0$

Step 2

Solve for $z$ .

Add $4$ to both sides of the equation.

$3 z = 4$

Divide each term in $3 z = 4$ by $3$ and simplify.

Divide each term in $3 z = 4$ by $3$ .

$\frac{3 z}{3} = \frac{4}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 z}{3} = \frac{4}{3}$

Divide $z$ by $1$ .

$z = \frac{4}{3}$

Step 3