That's hard...maybe

Algebra Level 4

The equation x33x23x1=0x^3-3x^2-3x-1=0 has exactly one real solution that can be written in the form a3+b3+c3.\sqrt[3]{a}+\sqrt[3]{b}+\sqrt[3]{c}.

What is the value of a+b+c?a+b+c?

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