Solve for a
\left\{\begin{matrix}a=\frac{3\left(\sqrt{3\left(27x+4y\right)x^{3}}-9x^{2}\right)}{2y}\text{; }a=-\frac{3\left(\sqrt{3\left(27x+4y\right)x^{3}}+9x^{2}\right)}{2y}\text{, }&\left(x\neq 0\text{ and }y=-\frac{27x}{4}\right)\text{ or }\left(y\neq 0\text{ and }y\leq -\frac{27x}{4}\text{ and }x\leq 0\right)\text{ or }\left(y\neq 0\text{ and }x\geq 0\text{ and }y\geq -\frac{27x}{4}\right)\\a=x\text{, }&y=0\text{ and }x\neq 0\\a\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.
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