Answer:x = -3.Step-by-step explanation:The quadratic equation x^2 + 6x + 9 = 0 can be solved as follows: 1. Factoring:- Notice that the equation is a perfect square trinomial.- It can be factored as (x + 3)(x + 3) = 0 or (x + 3)^2 = 0.2. Solving for x:- Take the square root of both sides: x + 3 = 0.- Subtract 3 from both sides: x = -3. Therefore, the solution to the quadratic equation is x = -3.