z = w/(h-4c^3)
The given equation:
w = zh - 4zc^3
Let's make z the subject of the formula:
[tex]\begin{gathered} w=zh-4zc^3 \\ \text{Let's factor out z} \\ w=z(h-4c^3) \end{gathered}[/tex]
Divide through by the expression in the brackect in order to make z stand alone:
[tex]\begin{gathered} \frac{w}{h-4c^3}\text{ = }\frac{z(h-4c^3)}{h-4c^3} \\ \frac{w}{h-4c^3}\text{ = z} \end{gathered}[/tex]
Therefore:
[tex]z\text{ = }\frac{w}{h-4c^3}[/tex]
