Answer :
We want to know how many solution the equation below has;
[tex]4|p|=0[/tex]Firstly, divide both side by 4, we have;
[tex]\begin{gathered} \frac{4|p|}{4}=\frac{0}{4} \\ |p|=0 \end{gathered}[/tex]Recall that ;
[tex]|p|=\pm p[/tex]So;
[tex]\begin{gathered} \pm p=0 \\ p=\pm0 \\ p=0 \end{gathered}[/tex]Therefore, the equation has only one solution, which is;
[tex]p=0[/tex]