What are two methods of solving 4x^2+16x+9?

One method is that it looks like a perfect square since the first and last terms are perfect squares.

(2x+3)^2 However, if you do the check you will get 12x for the middle term and not 16x. So.. that method doesn't work.

another method would be the guess method

(2x )(2x ) or (4x ) (x )

The 3 times 3 or 9 times 1 for the factors of 9.

enter them into the factors above until you get 16x for the middle sum.

If you are talking about actually solving instead of factoring there should be an = 0 in the problem.