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Write two equations
xy = -60
x+y=-44
use substitution to solve
y=-60/x
x+(-60/x)=-44
x2+44x-60=0
ax2+bx+c=0
use quadratic equation to find both values for "x" and only one will work.
[-b+-sqrt(b2-4(a)(c)]/2a
-44+-sqrt(1936-4(1)(-60)) / 2
x = 1.323807579 and -90.64761516
put both into the second equation
y = -44 - 1.323807579
y = -44 - -90.64761516
y = -45.32380758 and 46.64761516
Now you have to find which combination of "x" values and "y" values satisfy each equation
When you do this you find that x=1.323807579 and y=-45.32380758
so the factors are 1.323807579 and -45.32380758
-18 and -3 are factors of -54, multiply to 54 and add to -21. It's slightly different from the question you asked, but I think that's what you meant.
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16,1 8,2 4,4
