Solve for C
\left\{\begin{matrix}C=\frac{T^{2}}{m}\text{, }&T\geq 0\text{ and }m\neq 0\\C\in \mathrm{R}\text{, }&T=0\text{ and }m=0\end{matrix}\right.
Solve for C (complex solution)
\left\{\begin{matrix}C=\frac{T^{2}}{m}\text{, }&m\neq 0\text{ and }\left(T=0\text{ or }arg(T)<\pi \right)\\C\in \mathrm{C}\text{, }&T=0\text{ and }m=0\end{matrix}\right.
Solve for T (complex solution)
T=\sqrt{Cm}
Solve for T
T=\sqrt{Cm}
\left(C\geq 0\text{ and }m\geq 0\right)\text{ or }\left(m\leq 0\text{ and }C\leq 0\right)
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\sqrt{mC}=T
Swap sides so that all variable terms are on the left hand side.
mC=T^{2}
Square both sides of the equation.
\frac{mC}{m}=\frac{T^{2}}{m}
Divide both sides by m.
C=\frac{T^{2}}{m}
Dividing by m undoes the multiplication by m.
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