Solutions for a modular expression.

Question

If I have a modular expression of type: \begin{equation}\nonumber w(c)=-\frac{\pi}{2}\frac{\left|-1+c\right|(1+c)+\left|1+c\right|(-1+c)}{(1-c^2)} \end{equation} How can I express the solutions to $w$ in terms of $c$, with conditions on the intervals where c can be?

I know I should analyze four possible situations, using the fact that, \begin{equation}\nonumber |x| = \begin{cases} x,& \text{if $x>0$} \\ -x, & \text{if $x\le0$} \end{cases} \end{equation} After making such an analysis, in two of them we have $w=0$, and in the last two we have $w=\pi\text{ e }w=-\pi$.

However, I have not yet been able to define $w$ in terms of the intervals over the variable $c$. In this case I know that $w$ is a type of peacewise function. Thank you in advance.