Find Where Undefined/Discontinuous (x^2-10x+25)/(3x-15)

$\frac{x^{2} - 10 x + 25}{3 x - 15}$

Step 1

Set the denominator in $\frac{x^{2} - 10 x + 25}{3 x - 15}$ equal to $0$ to find where the expression is undefined.

$3 x - 15 = 0$

Step 2

Solve for $x$ .

Add $15$ to both sides of the equation.

$3 x = 15$

Divide each term in $3 x = 15$ by $3$ and simplify.

Divide each term in $3 x = 15$ by $3$ .

$\frac{3 x}{3} = \frac{15}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{15}{3}$

Divide $x$ by $1$ .

$x = \frac{15}{3}$

Simplify the right side.

Divide $15$ by $3$ .

$x = 5$

Step 3