1. **State the problem:** Solve the quadratic equation by factoring: $$x^2 + 7x = 8$$ 2. **Rewrite the equation:** Move all terms to one side to set the equation to zero: $$x^2 + 7x - 8 = 0$$ 3. **Factoring the quadratic:** We look for two numbers that multiply to $$-8$$ and add to $$7$$. These numbers are $$8$$ and $$-1$$. 4. **Write the factored form:** $$x^2 + 7x - 8 = (x + 8)(x - 1) = 0$$ 5. **Solve for x:** Set each factor equal to zero: $$x + 8 = 0 \Rightarrow x = -8$$ $$x - 1 = 0 \Rightarrow x = 1$$ 6. **Final answer:** The solutions are $$x = 1$$ and $$x = -8$$. Therefore, the correct response is: x = 1, x = -8.