SOLUTION: how to factor m^2+2m+2=0

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Question 951040: how to factor m^2+2m+2=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square,
%28m%5E2%2B2m%2B1%29%2B2=1
%28m%2B1%29%5E2=-1
m%2B1=0+%2B-+sqrt+%28-1%29
m=-1+%2B-+i
So then in factored form,
m%5E2%2B2m%2B2=%28m%2B1-i%29%28m%2B1%2Bi%29