so xy=-60 and x+y=-28
x+y=-28 also means x=-28-y
subsitute x=-28-y for x in xy=-60
(-28-y)y=-60
-28y-y^2=-60
add negative y^2 to both sides
-28y=-60+y^2
add 28y to both sides
0=y^2+28y-60
factor
0=(x-2)(x+30)
we set them to zero
x-2=0
x=2
x+30=0
x=-30
the numbers could be -30 and 2