GMAT Data Sufficiency (DS) | Re: If a·b≠0, and (x+a)(x+b)=0, is x=a?

a.b =/= 0
-> a=/=0, b=/=0

(x+a)(x+b) = 0
-> x= -a or x=-b ..........(i)
Statement 1: x= b , so x=/= -b (as b=/=0)
-> x=-a so it is sufficient for ques x=a?

Statement 2: a=-b
From (i), x = -a or x = a... So it is not sufficient for ques x=a?

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