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