Completing the Square: results in 2 solutions

x^2 + 3x = - 2

Add 2 to both sdies

now if we can facor, then if

xy=0 then x and/or y=0

note:xy=x times y and x (y) = x times y

x^2+3x+2=0

what 2 number multiply to get 2 and add to get 3

the numbers are 2 and 1

(x+2) (x+1) = 0

set them to zero

x+2=0

subtract 2

x=-2

x+1=0

subtract 1

x=-1

x could be - 1 or - 2

x=-2, or - 1