What 2 numbers multiply to -360 and add up to 9

xy = -360
x + y = 9

x + y = 9
- x - x
y = -x + 9

xy = -360
x(-x + 9) = -360
x(-x) + x(9) = -360
-x^2 + 9x = -360
+ 360 + 360
-x^2 + 9x + 360 = 0
-1(x^2) - 1(-9x) - 1(-360) = 0
-1(x^2 - 9x - 360) = 0
-1 -1
x^2 - 9x - 360 = 0
(x + 15)(x - 24) = 0
x = -15 or x = 24

The two numbers that multipky to -360 and 9 are -15 and 24.

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