Find Where Undefined/Discontinuous (4x-5)/(3x+2)

$\frac{4 x - 5}{3 x + 2}$

Step 1

Set the denominator in $\frac{4 x - 5}{3 x + 2}$ equal to $0$ to find where the expression is undefined.

$3 x + 2 = 0$

Step 2

Solve for $x$ .

Subtract $2$ from 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 $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 3