Solve for C
\left\{\begin{matrix}\\C=2\text{, }&\text{unconditionally}\\C\in \mathrm{R}\text{, }&D=0\end{matrix}\right.
Solve for D
\left\{\begin{matrix}\\D=0\text{, }&\text{unconditionally}\\D\in \mathrm{R}\text{, }&C=2\end{matrix}\right.
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\frac{1}{2}CD=D
Swap sides so that all variable terms are on the left hand side.
\frac{D}{2}C=D
The equation is in standard form.
\frac{2\times \frac{D}{2}C}{D}=\frac{2D}{D}
Divide both sides by \frac{1}{2}D.
C=\frac{2D}{D}
Dividing by \frac{1}{2}D undoes the multiplication by \frac{1}{2}D.
C=2
Divide D by \frac{1}{2}D.
D-\frac{1}{2}CD=0
Subtract \frac{1}{2}CD from both sides.
\left(1-\frac{1}{2}C\right)D=0
Combine all terms containing D.
\left(-\frac{C}{2}+1\right)D=0
The equation is in standard form.
D=0
Divide 0 by 1-\frac{1}{2}C.
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