Question

Completing the Square: results in 2 solutions
x^2 + 3x = -2

Answer 1

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