What two integers have a sum of -19 and a product of 84?

Question

Someone please help I am so confused right now

Answer 1

-7 and -12

xy=84

x+y = -19

x = -19 -y

(-19-y)y) = 84

-19y - y^2 = 84

y^2 + 19y + 84 = 0

(y+7)(y+12) = 0

y = -7 or -12

x = -12 or - 7