Question

What multiplies to -105 and add to 32

Answer 1

-105 = x*y
32 = x+y --> y = 32-x

Substitution:
-105 = x(32-x)
-x^2+32x+105 = 0
x^2-32x-105 = 0
Factoring:
(x-35)(x+3) = 0
x=35, -3
35 and -3 fit the criteria :)