# Complex Cyclic Cystems

Algebra Level pending

Let $$a,b,c$$ be non-zero complex numbers such that $\frac{2b+3c}{a}=\frac{2c+3a}{b}=\frac{2a+3b}{c}.$ Find the sum of all (distinct) possible values of $$\left|\frac{5b^2+5c^2}{a^2}\right|$$.

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