Find the Excluded Values (2x+6)/(4x-8)

$\frac{2 x + 6}{4 x - 8}$

Set the denominator in $\frac{2 x + 6}{4 x - 8}$ equal to $0$ to find where the expression is undefined.

$4 x - 8 = 0$

Solve for $x$ .

Add $8$ to both sides of the equation.

$4 x = 8$

Divide each term in $4 x = 8$ by $4$ and simplify.

Divide each term in $4 x = 8$ by $4$ .

$\frac{4 x}{4} = \frac{8}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{8}{4}$

Divide $x$ by $1$ .

$x = \frac{8}{4}$

Simplify the right side.

Divide $8$ by $4$ .

$x = 2$