Just suppose two numbers to be X and Y
Then according to the data given in question
You can say X + Y = -96 ----- (i)
and (X)x(Y) = -10 ----- (ii)
then by using equation (i) X + Y = -96 => X = -96 - Y
Put X = -96 - Y in equation (ii)
(-96 - Y)Y = -10
-96Y - Y2 = -10
Now just simplify the above equation (either by making factors, if possible or just use quadratic formula).
You'll get two values for Y then put them in equation (i) to get values of X
I hope this would help you..