Solve for Y
\left\{\begin{matrix}Y=\frac{X}{5\left(Re(o)Re(s)-Im(o)Im(s)\right)}\text{, }&5Re(o)Re(s)-5Im(o)Im(s)\neq 0\text{ and }Re(o)Re(s)-Im(o)Im(s)\neq 0\text{ and }Im(o)Im(s)-Re(o)Re(s)\neq 0\\Y\in \mathrm{C}\text{, }&\left(Re(o)Re(s)-Im(o)Im(s)=0\text{ or }5Re(o)Re(s)-5Im(o)Im(s)=0\right)\text{ and }\left(Re(o)Re(s)-Im(o)Im(s)=0\text{ or }Im(o)Im(s)-Re(o)Re(s)\neq 0\right)\text{ and }X=0\end{matrix}\right.
Solve for X
X=5Y\left(Re(o)Re(s)-Im(o)Im(s)\right)
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5YRe(so)=X
Swap sides so that all variable terms are on the left hand side.
\left(5Re(o)Re(s)-5Im(o)Im(s)\right)Y=X
The equation is in standard form.
\frac{\left(5Re(o)Re(s)-5Im(o)Im(s)\right)Y}{5Re(o)Re(s)-5Im(o)Im(s)}=\frac{X}{5Re(o)Re(s)-5Im(o)Im(s)}
Divide both sides by 5Re(s)Re(o)-5Im(s)Im(o).
Y=\frac{X}{5Re(o)Re(s)-5Im(o)Im(s)}
Dividing by 5Re(s)Re(o)-5Im(s)Im(o) undoes the multiplication by 5Re(s)Re(o)-5Im(s)Im(o).
Y=\frac{X}{5\left(Re(o)Re(s)-Im(o)Im(s)\right)}
Divide X by 5Re(s)Re(o)-5Im(s)Im(o).
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