Solve for A
\left\{\begin{matrix}A=\frac{BC}{D}\text{, }&D\neq 0\\A\in \mathrm{R}\text{, }&\left(B=0\text{ or }C=0\right)\text{ and }D=0\end{matrix}\right.
Solve for B
\left\{\begin{matrix}B=\frac{AD}{C}\text{, }&C\neq 0\\B\in \mathrm{R}\text{, }&\left(A=0\text{ or }D=0\right)\text{ and }C=0\end{matrix}\right.
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DA=BC
The equation is in standard form.
\frac{DA}{D}=\frac{BC}{D}
Divide both sides by D.
A=\frac{BC}{D}
Dividing by D undoes the multiplication by D.
BC=AD
Swap sides so that all variable terms are on the left hand side.
CB=AD
The equation is in standard form.
\frac{CB}{C}=\frac{AD}{C}
Divide both sides by C.
B=\frac{AD}{C}
Dividing by C undoes the multiplication by C.
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