Find the Excluded Values (x^2-25)/(3x-7)

$\frac{x^{2} - 25}{3 x - 7}$

Set the denominator in $\frac{x^{2} - 25}{3 x - 7}$ equal to $0$ to find where the expression is undefined.

$3 x - 7 = 0$

Solve for $x$ .

Add $7$ to both sides of the equation.

$3 x = 7$

Divide each term in $3 x = 7$ by $3$ and simplify.

Divide each term in $3 x = 7$ by $3$ .

$\frac{3 x}{3} = \frac{7}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{7}{3}$

Divide $x$ by $1$ .

$x = \frac{7}{3}$