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