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P=a22a2+bc+b22b2+ca+c22c2+ab.P=\dfrac{a^2}{2a^2+bc}+\dfrac{b^2}{2b^2+ca}+\dfrac{c^2}{2c^2+ab}.P=2a2+bca2+2b2+cab2+2c2+abc2.
Let a,a,a, bbb and ccc be such that a+b+c=0a + b + c = 0a+b+c=0.
Find the sum of all possible values of PP P.
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