I don't get this at ALL. I don't really need to solve it because it's a bonus question. But I would still like to solve it, because my math teacher is going to give candy out to the people who get this right.

2x^2 + 9x + 5

If you want to solve

2x^2 + 9x + 5 = 0
you will need the quadratic formula:
x = (-9±√(9^2 - 4*2*5))/4 = (-9±√41)/4
Or, you can complete the square:
2x^2 + 9x + 5 = 0
2x^2 + 9x = -5
x^2 + 9/2 x = -5/2
x^2 + 9/2 x + (9/4)^2 = -5/2 + (9/4)^2
(x + 9/4)^2 = 41/16
x + 9/4 = ±√41/4
x = -9/4 ±√41/4
x = (-9±√41)/4