Math question involving polynomials

The profit, "P", of a video company (in thousands of dollars), is given by P(x) = -5x^2 + 550x - 5000, where x is the amount spent on advertising, in thousands of dollars.

a) Determine the amount spent on advertising that will result in a profit of $0.

Ok so I started it here...

0 = -5x^2 + 550x - 5000

= -5(x^2 - 110x + 1000)

I'm not sure how to continue from here. I'm pretty sure that I'm on the right track. I think that you have to find when x = 0. Essentially what I'm trying to do I think is find the x-intercepts.