Solve for N_40
\left\{\begin{matrix}N_{40}=\frac{c-15m^{2}}{s_{1}}\text{, }&s_{1}\neq 0\\N_{40}\in \mathrm{R}\text{, }&c=15m^{2}\text{ and }s_{1}=0\end{matrix}\right.
Solve for c
c=15m^{2}+N_{40}s_{1}
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15m^{2}+s_{1}N_{40}=c
Swap sides so that all variable terms are on the left hand side.
s_{1}N_{40}=c-15m^{2}
Subtract 15m^{2} from both sides.
\frac{s_{1}N_{40}}{s_{1}}=\frac{c-15m^{2}}{s_{1}}
Divide both sides by s_{1}.
N_{40}=\frac{c-15m^{2}}{s_{1}}
Dividing by s_{1} undoes the multiplication by s_{1}.
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