What 2 numbers multiply to get - 216 and add together to get 6

One No. = x

Other No. = y

xy = 6 ... Eq. 1

x + y = - 5, or

y = - x - 5 ... Eq. 2

Subbing ( - x - 5) from Eq. 2

for y in Eq. 1,

x ( - x - 5) = 6

- x² - 5x = 6

x² + 5x = - 6

x² + 5x + 6 = 0

(x + 2) (x + 3) = 0

If the product of two factors equals zero,

then one or both factors equal zero.

If x + 2 = 0,

x = - 2

If x + 3 = 0,

x = - 3

The two numbers are - 2 and - 3.