What two numbers multiply together to equal -32 and add together to equal positive four

Because multiply of these two number get you -32, one of these number must be negative.

And because sum of them are positive, positive number must be larger than that negative number (without minus sign)

So list of possible answers are:

-1, 32;  -2, 16;  -4, 8

And we can see that
-4+8 = 4

So these two numbers are 8 and -4.