book Maths Puzzle Numerical Ability

Hi There!

I really need help understanding Factoring with a Zero Product. Could someone please explain this problem to me?

-2x^2 -2x + 24=0

Thanks to all

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book Other Question

Graph the linear system and estimate the solution.Then check the system algebraically.

2x+y=9
-x+6y=-1 Two trains leave Chicago, one traveling East at 30 miles per hour, and one traveling west at 40 miles per hour. When will the trains be 210 miles apart?
(We are supposed to be using the formula d=rt.)