1. **State the problem:** Factor the quadratic expression $$4m^2 + 36m + 80$$ completely. 2. **Identify the common factor:** Notice that each term has a common factor of 4. 3. **Factor out the common factor:** $$4m^2 + 36m + 80 = 4(m^2 + 9m + 20)$$ 4. **Factor the quadratic inside the parentheses:** We look for two numbers that multiply to 20 and add to 9. These numbers are 4 and 5. 5. **Write the factored form:** $$4(m + 4)(m + 5)$$ 6. **Final answer:** The completely factored form of $$4m^2 + 36m + 80$$ is $$4(m + 4)(m + 5)$$.