Solve for C
\left\{\begin{matrix}C=\frac{L+P}{DP}\text{, }&P\neq 0\text{ and }D\neq 0\\C\in \mathrm{R}\text{, }&\left(P=-L\text{ and }D=0\right)\text{ or }\left(P=0\text{ and }L=0\text{ and }D\neq 0\right)\end{matrix}\right.
Solve for D
\left\{\begin{matrix}D=\frac{L+P}{CP}\text{, }&P\neq 0\text{ and }C\neq 0\\D\in \mathrm{R}\text{, }&\left(P=0\text{ and }L=0\right)\text{ or }\left(P=-L\text{ and }C=0\text{ and }L\neq 0\right)\end{matrix}\right.
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DPC=L+P
The equation is in standard form.
\frac{DPC}{DP}=\frac{L+P}{DP}
Divide both sides by PD.
C=\frac{L+P}{DP}
Dividing by PD undoes the multiplication by PD.
CPD=L+P
The equation is in standard form.
\frac{CPD}{CP}=\frac{L+P}{CP}
Divide both sides by CP.
D=\frac{L+P}{CP}
Dividing by CP undoes the multiplication by CP.
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