# algebra #1

Algebra Level 4

The equation $$2x^3-6x^2-12x-8=0$$ has exactly one real root, which is in the form $$x=a+\sqrt[3]{b}+\sqrt[3]{c}$$, where $$a$$, $$b$$ and $$c$$ are positive integers.

Find $$a+b+c$$.

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