Be careful, $a,b,c\ne0$

Algebra Level 3

Let $a$ , $b$ , and $c$ be non-zero real numbers such that $\begin{cases} \begin{aligned} a^2+a&=b^2 \\b^2+b&=c^2 \\c^2+c&=a^2. \end{aligned} \end{cases}$ Find the value of $(a-b)(b-c)(c-a)$ .