Find Where Undefined/Discontinuous (27x^3-8)/(3x-2)

$\frac{27 x^{3} - 8}{3 x - 2}$

Step 1

Set the denominator in $\frac{27 x^{3} - 8}{3 x - 2}$ equal to $0$ to find where the expression is undefined.

$3 x - 2 = 0$

Step 2

Solve for $x$ .

Add $2$ to both sides of the equation.

$3 x = 2$

Divide each term in $3 x = 2$ by $3$ and simplify.

Divide each term in $3 x = 2$ by $3$ .

$\frac{3 x}{3} = \frac{2}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{2}{3}$

Divide $x$ by $1$ .

$x = \frac{2}{3}$

Step 3