IMAS 2016/2017 Junior Division Round 2 Question 11

Given that $a^2+b^2+c^2=(a+b+c)^2$, where $a$, $b$ and $c$ are non-zero real numbers. What is the value of $\frac{b+c}{a}+\frac{c+a}{b}+\frac{a+b}{c}$?