Question

what 2 numbers when multiplied = 52, but when added = -25?

Answer 1

if you call those numbers x and y, you can create equations:
xy=52
x+y=-25
The bottom equation can be solved for x or y
x=-25-y
And this can be substituted into the first equation.
(-25-y)y=52
Solve for y.
Once you have y, substitute into either of the two original equations and you'll get x.