# Not really complex

Algebra Level 3

Suppose $$x$$ is a complex number such that $$4x^2+2x+1=0$$. Then,

$\large x^3+x^6+x^9+x^{12}+\ldots = \frac ab$

where $$a$$ and $$b$$ are coprime positive integers. Find the value of $$a+b$$.

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