The product of the real roots of the equation $|2x+3{|}^2-3|2x+3|+2=0,$ is

We have, 

$\begin{array}{l}|2x+3{|}^2-3|2x+3|+2=0\\ \Rightarrow \left(\right|2x+3|-2)\left(\right|2x+3|-1)=0\\ \Rightarrow 2x+3\mid =1,2\\ \Rightarrow 2x+3=\pm 1,\pm 2\Rightarrow x=-1,-2,-\frac{1}{2},-\frac{5}{2}\end{array}$

$\therefore$ Product of roots $=\frac{5}{2}$