Step-by-step explanation:
The given expression is:
[tex]r=\dfrac{2p^2}{q-3}[/tex]
We need to solve it to make q the subject of the formula.
Cross multiplying both sides,
[tex]rq-3r=2p^2[/tex]
Adding 3r to both sides,
[tex]rq-3r+3r=2p^2+3r\\\\rq=2p^2+3r[/tex]
Now, dividing both sides by r,
[tex]q=\dfrac{2p^2+3r}{r}[/tex]
Hence, this is the required solution.