Find Where Undefined/Discontinuous (x^2-10x+25)/(4x-20)

$\frac{x^{2} - 10 x + 25}{4 x - 20}$

Step 1

Set the denominator in $\frac{x^{2} - 10 x + 25}{4 x - 20}$ equal to $0$ to find where the expression is undefined.

$4 x - 20 = 0$

Step 2

Solve for $x$ .

Add $20$ to both sides of the equation.

$4 x = 20$

Divide each term in $4 x = 20$ by $4$ and simplify.

Divide each term in $4 x = 20$ by $4$ .

$\frac{4 x}{4} = \frac{20}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{20}{4}$

Divide $x$ by $1$ .

$x = \frac{20}{4}$

Simplify the right side.

Divide $20$ by $4$ .

$x = 5$

Step 3