\sigma = 2 d t
Solve for d
\left\{\begin{matrix}d=\frac{\sigma }{2t}\text{, }&t\neq 0\\d\in \mathrm{R}\text{, }&\sigma =0\text{ and }t=0\end{matrix}\right.
Solve for t
\left\{\begin{matrix}t=\frac{\sigma }{2d}\text{, }&d\neq 0\\t\in \mathrm{R}\text{, }&\sigma =0\text{ and }d=0\end{matrix}\right.
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2dt=\sigma
Swap sides so that all variable terms are on the left hand side.
2td=\sigma
The equation is in standard form.
\frac{2td}{2t}=\frac{\sigma }{2t}
Divide both sides by 2t.
d=\frac{\sigma }{2t}
Dividing by 2t undoes the multiplication by 2t.
2dt=\sigma
Swap sides so that all variable terms are on the left hand side.
\frac{2dt}{2d}=\frac{\sigma }{2d}
Divide both sides by 2d.
t=\frac{\sigma }{2d}
Dividing by 2d undoes the multiplication by 2d.
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