# How Do We Systematically Substitute Them?

Algebra Level 3

$P=\dfrac{a^2}{2a^2+bc}+\dfrac{b^2}{2b^2+ca}+\dfrac{c^2}{2c^2+ab}.$

Let $$a,$$ $$b$$ and $$c$$ be such that $$a + b + c = 0$$.

Find the sum of all possible values of $$P$$.

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