Is there 2 numbers that multiply to -84 and add up to 25?

-3 and 28

x*y=-84 x+y=25 (What's known)

x=-84/y x=25-y (Solve for x)

-84/y=25-y (Set them equal using the solved x's)

-84=25y-y^2 (Simplify)

y^2-25y-84=0 (Solve for 0)

(y-28)(y+3)=0 (Factor)

y=28|y=-3 (Solve for solutions)

Factors of 84:

1|84

2|42

3|28

4|21

6|14