$\left\{\begin{matrix}P=-\frac{x\left(65x+108y\right)}{78y^{2}}\text{, }&y\neq 0\\P\in \mathrm{C}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$

$\left\{\begin{matrix}P=-\frac{x\left(65x+108y\right)}{78y^{2}}\text{, }&y\neq 0\\P\in \mathrm{R}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$

$x=\frac{\sqrt{6\left(486-845P\right)y^{2}}-54y}{65}$
$x=\frac{-\sqrt{6\left(486-845P\right)y^{2}}-54y}{65}$

$\left\{\begin{matrix}x=\frac{\left(\sqrt{6\left(486-845P\right)}-54\right)y}{65}\text{; }x=-\frac{\left(\sqrt{6\left(486-845P\right)}+54\right)y}{65}\text{, }&P\leq \frac{486}{845}\\x=0\text{, }&y=0\end{matrix}\right.$