$$14p\div4p=2P4p-3.5p$$
$\left\{\begin{matrix}\\P_{4}=\frac{7\left(p+1\right)}{4}\text{, }&\text{unconditionally}\\P_{4}\in \mathrm{R}\text{, }&p=0\end{matrix}\right.$
$p=\frac{4P_{4}}{7}-1$
$p=0$