determine when x^2+7x+25 is greater than or equal too -x^2-10x-10
so just subtract!
(x^2+7x+25)-(-x^2-10x-10) = 2x^2+17x+25
so, where is that positive?
You know that is a parabola that opens up, so it is positive everywhere except between the roots, which are at -5 and -7/2
So the first is greater than the second on (-∞,-5)U(-7/2,∞)
Don't forget your Algebra I now that you've moved on past it.