Solve for g (complex solution)
\left\{\begin{matrix}g=\frac{2d}{w}\text{, }&w\neq 0\\g\in \mathrm{C}\text{, }&d=0\text{ and }w=0\end{matrix}\right.
Solve for g
\left\{\begin{matrix}g=\frac{2d}{w}\text{, }&w\neq 0\\g\in \mathrm{R}\text{, }&d=0\text{ and }w=0\end{matrix}\right.
Solve for d
d=\frac{gw}{2}
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\frac{1}{2}gw=d
Swap sides so that all variable terms are on the left hand side.
\frac{w}{2}g=d
The equation is in standard form.
\frac{2\times \frac{w}{2}g}{w}=\frac{2d}{w}
Divide both sides by \frac{1}{2}w.
g=\frac{2d}{w}
Dividing by \frac{1}{2}w undoes the multiplication by \frac{1}{2}w.
\frac{1}{2}gw=d
Swap sides so that all variable terms are on the left hand side.
\frac{w}{2}g=d
The equation is in standard form.
\frac{2\times \frac{w}{2}g}{w}=\frac{2d}{w}
Divide both sides by \frac{1}{2}w.
g=\frac{2d}{w}
Dividing by \frac{1}{2}w undoes the multiplication by \frac{1}{2}w.
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