What two numbers can be multiplied to get negative 14 but also add to get positive 5

The numbers: x, y

x·y=-14

x+y=5 ⇒ y=5-x

Substitute y in the first equation by y from second one

x· (5-x) = - 14

5x-x²=-14

-x²+5x+14=0

-x²-2x+7x+14=0

-x (x+2) + 7 (x+2) = 0

(x+2) (-x+7) = 0

Product is 0 if one of factors is 0

x+2=0 or - x+7=0

x=-2 or - x=-7

x=-2 or x=7

Now back to the equation y=5-x

y=5 - (-2) or y=5-7

y=7 or y=-2

The numbers are - 2 and 7