Solve for m (complex solution)
\left\{\begin{matrix}m=\frac{x}{c^{2}}\text{, }&c\neq 0\\m\in \mathrm{C}\text{, }&x=0\text{ and }c=0\end{matrix}\right.
Solve for m
\left\{\begin{matrix}m=\frac{x}{c^{2}}\text{, }&c\neq 0\\m\in \mathrm{R}\text{, }&x=0\text{ and }c=0\end{matrix}\right.
Solve for c (complex solution)
\left\{\begin{matrix}c=-m^{-\frac{1}{2}}\sqrt{x}\text{; }c=m^{-\frac{1}{2}}\sqrt{x}\text{, }&m\neq 0\\c\in \mathrm{C}\text{, }&x=0\text{ and }m=0\end{matrix}\right.
Solve for c
\left\{\begin{matrix}c=\sqrt{\frac{x}{m}}\text{; }c=-\sqrt{\frac{x}{m}}\text{, }&\left(x\geq 0\text{ and }m>0\right)\text{ or }\left(x\leq 0\text{ and }m<0\right)\\c\in \mathrm{R}\text{, }&x=0\text{ and }m=0\end{matrix}\right.
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mc^{2}=x
Swap sides so that all variable terms are on the left hand side.
c^{2}m=x
The equation is in standard form.
\frac{c^{2}m}{c^{2}}=\frac{x}{c^{2}}
Divide both sides by c^{2}.
m=\frac{x}{c^{2}}
Dividing by c^{2} undoes the multiplication by c^{2}.
mc^{2}=x
Swap sides so that all variable terms are on the left hand side.
c^{2}m=x
The equation is in standard form.
\frac{c^{2}m}{c^{2}}=\frac{x}{c^{2}}
Divide both sides by c^{2}.
m=\frac{x}{c^{2}}
Dividing by c^{2} undoes the multiplication by c^{2}.
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