Find Where Undefined/Discontinuous (8z^3-125)/(2z-5)

$\frac{8 z^{3} - 125}{2 z - 5}$

Step 1

Set the denominator in $\frac{8 z^{3} - 125}{2 z - 5}$ equal to $0$ to find where the expression is undefined.

$2 z - 5 = 0$

Step 2

Solve for $z$ .

Add $5$ to both sides of the equation.

$2 z = 5$

Divide each term in $2 z = 5$ by $2$ and simplify.

Divide each term in $2 z = 5$ by $2$ .

$\frac{2 z}{2} = \frac{5}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 z}{2} = \frac{5}{2}$

Divide $z$ by $1$ .

$z = \frac{5}{2}$

Step 3