1. **State the problem:** Find all excluded values for the expression $$\frac{x + 8}{x^2 - 3x - 18}$$ which are values of $x$ that make the denominator zero. 2. **Recall the rule:** A rational expression is undefined when its denominator equals zero. 3. **Set the denominator equal to zero:** $$x^2 - 3x - 18 = 0$$ 4. **Factor the quadratic:** $$x^2 - 3x - 18 = (x - 6)(x + 3)$$ 5. **Set each factor equal to zero:** $$x - 6 = 0 \implies x = 6$$ $$x + 3 = 0 \implies x = -3$$ 6. **Conclusion:** The expression is undefined at $x = 6$ and $x = -3$. These are the excluded values. **Note:** The values $x = -5$ and $x = 14$ given in the prompt are incorrect for this expression. **Final answer:** $$x = -3, 6$$