Solve for A_z
\left\{\begin{matrix}A_{z}=\frac{P_{x}}{h_{c}r}\text{, }&h_{c}\neq 0\text{ and }r\neq 0\\A_{z}\in \mathrm{R}\text{, }&\left(h_{c}=0\text{ or }r=0\right)\text{ and }P_{x}=0\end{matrix}\right.
Solve for P_x
P_{x}=A_{z}h_{c}r
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rh_{c}A_{z}=P_{x}
Swap sides so that all variable terms are on the left hand side.
h_{c}rA_{z}=P_{x}
The equation is in standard form.
\frac{h_{c}rA_{z}}{h_{c}r}=\frac{P_{x}}{h_{c}r}
Divide both sides by rh_{c}.
A_{z}=\frac{P_{x}}{h_{c}r}
Dividing by rh_{c} undoes the multiplication by rh_{c}.
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