How do I solve this?

Determine the point(s) of intersection of the following two parabolas

f(x)= x^2 -10x + 21 and g(x)= -x^2 + 12x -35

(i did this: x^2 -10x + 21 = -x^2 + 12x -35 and then i added them all, changing the signs of the second expression because thats how i was tought, and i got this 2x^2 -22x +56 and after that i am supposed to find two numbers that multiplied give me 56 and added -22... but i think i got it all wrong, im so confused!!!! help!)

2. $2x^2 - 22x + 56 = 0$

first rule of factoring ... factor out anything each term has in common.

$2(x^2 - 11x + 28) = 0$

can you factor the quadratic now?