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

If P is the midpoint of segment AB, find the coordinates of the missing point

P(1.2, 4.5) B(5.3, 1.9) I cannot figure this one out. Can you please help me? Thanks
is this rational or irrational??

sqrt 71