2 numbers multiply to -63 and add up to 7
Forming the equation, we need to let
x = first number
y = second number
xy = -63
x+y = 7 --> y = -x + 7
x (-x + 7) = 63
-x^2 +7x = 63
x^2 - 7x = -63
x^2 - 7x + 63 = 0
From the equation above, you need to find the roots.
After getting the roots, then you can decide that those are the two numbers.