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Ain't it Infinite?!

Algebra Level 4

$a,b,c,d,e \in \mathbb{R^+}$ , and follow $a+b+c+d+e=40$ and $ab+ac+ad+ae+bc+bd+be+cd+ce+de=640$ simultaneously. Determine the SUM of ALL possible values of "a".

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by Kristian Vasilev

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