# Another 5000 Follower Problem

Algebra Level 3

$P(x)=(x^2+5000x-1)^2+(2x+5000)^2$

Let $$P(x)$$ be a polynomial, then find the sum of all the real solutions to the equation $P(x)=\text{min}(P(x)).$

###### Image Credit: Wikimedia Five Thousand
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