# Equal Squares

Algebra Level 5

It is given that $$a$$, $$b$$, and $$c$$ are nonzero real numbers such that

$(a+b)^2 = (b+c)^2 = (c+a)^2$

Find the product of all possible distinct values of $$\frac{a}{b} + \frac{b}{c} + \frac{c}{a}$$.

If you think that the equality has no solution, submit 0 as your answer.

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