Answer:
[tex]m = \frac{dx}{ {d}^{2} + c } [/tex]
Step-by-step explanation:
x/m - c/d = d
Multiply through by LCM = md
[tex]dx - cm = md^2[/tex]
Collect like terms
[tex]m {d}^{2} + cm = dx[/tex]
[tex]m( {d}^{2} + c) = dx [/tex]
Divide both sides by d^2 + c
[tex]m = \frac{dx}{ {d}^{2} + c } [/tex]