Solve for s (complex solution)
\left\{\begin{matrix}s=\frac{g}{xy}\text{, }&x\neq 0\text{ and }y\neq 0\\s\in \mathrm{C}\text{, }&g=0\text{ and }x=0\text{ and }y\neq 0\end{matrix}\right.
Solve for s
\left\{\begin{matrix}s=\frac{g}{xy}\text{, }&x\neq 0\text{ and }y\neq 0\\s\in \mathrm{R}\text{, }&g=0\text{ and }x=0\text{ and }y\neq 0\end{matrix}\right.
Solve for g
g=sxy
y\neq 0
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g=xsy
Multiply both sides of the equation by y.
xsy=g
Swap sides so that all variable terms are on the left hand side.
xys=g
The equation is in standard form.
\frac{xys}{xy}=\frac{g}{xy}
Divide both sides by xy.
s=\frac{g}{xy}
Dividing by xy undoes the multiplication by xy.
g=xsy
Multiply both sides of the equation by y.
xsy=g
Swap sides so that all variable terms are on the left hand side.
xys=g
The equation is in standard form.
\frac{xys}{xy}=\frac{g}{xy}
Divide both sides by xy.
s=\frac{g}{xy}
Dividing by xy undoes the multiplication by xy.
g=xsy
Multiply both sides of the equation by y.
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