What multiplies to - 216 but adds to 6

xy = - 216

x + y = 6

x + y = 6

x - x + y = - x + 6

y = - x + 6

xy = - 216

x (-x + 6) = - 216

x (-x) + x (6) = - 216

-x² + 6x = - 216

-x² + 6x + 216 = 0

-1 (x²) - 1 (-6x) - 1 (216) = 0

-1 (x² - 6x - 216) = 0

-1 - 1

x² - 6x - 216 = 0

x² - 18x + 12x - 216 = 0

x (x) - x (18) + 12 (x) - 12 (18) = 0

x (x - 18) + 12 (x - 18) = 0

(x + 12) (x - 18) = 0

x + 12 = 0 or x - 18 = 0

- 12 - 12 + 18 + 18

x = - 12 or x = 18

x + y = 6 x + y = 6

-12 + y = 6 18 + y = 6

+ 12 + 12 - 18 - 18

y = 18 y = - 12

(x, y) = (-12, 18) or (x, y) = (18, - 12)

The two numbers that multiply to - 216 and add up to 6 are - 12 and 18.