Solve for x
x=\frac{y^{2}}{4e^{a}}
Solve for a (complex solution)
\left\{\begin{matrix}a=\ln(\frac{y^{2}}{x})-2\ln(2)+2\pi n_{1}i\text{, }n_{1}\in \mathrm{Z}\text{, }&y\neq 0\text{ and }x\neq 0\\a\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=\ln(\frac{y^{2}}{x})-2\ln(2)\text{, }&y\neq 0\text{ and }x>0\\a\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.
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4e^{a}x=y^{2}
Swap sides so that all variable terms are on the left hand side.
\frac{4e^{a}x}{4e^{a}}=\frac{y^{2}}{4e^{a}}
Divide both sides by 4e^{a}.
x=\frac{y^{2}}{4e^{a}}
Dividing by 4e^{a} undoes the multiplication by 4e^{a}.
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