Solve for c (complex solution)
\left\{\begin{matrix}c=\frac{2x}{m\cos(x)}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}+\frac{\pi }{2}\text{ and }m\neq 0\\c\in \mathrm{C}\text{, }&x=0\text{ and }m=0\end{matrix}\right.
Solve for m (complex solution)
\left\{\begin{matrix}m=\frac{2x}{c\cos(x)}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}+\frac{\pi }{2}\text{ and }c\neq 0\\m\in \mathrm{C}\text{, }&x=0\text{ and }c=0\end{matrix}\right.
Solve for c
\left\{\begin{matrix}c=\frac{2x}{m\cos(x)}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}+\frac{\pi }{2}\text{ and }m\neq 0\\c\in \mathrm{R}\text{, }&x=0\text{ and }m=0\end{matrix}\right.
Solve for m
\left\{\begin{matrix}m=\frac{2x}{c\cos(x)}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }x=\pi n_{1}+\frac{\pi }{2}\text{ and }c\neq 0\\m\in \mathrm{R}\text{, }&x=0\text{ and }c=0\end{matrix}\right.
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cm\cos(x)=2x
Swap sides so that all variable terms are on the left hand side.
m\cos(x)c=2x
The equation is in standard form.
\frac{m\cos(x)c}{m\cos(x)}=\frac{2x}{m\cos(x)}
Divide both sides by m\cos(x).
c=\frac{2x}{m\cos(x)}
Dividing by m\cos(x) undoes the multiplication by m\cos(x).
cm\cos(x)=2x
Swap sides so that all variable terms are on the left hand side.
c\cos(x)m=2x
The equation is in standard form.
\frac{c\cos(x)m}{c\cos(x)}=\frac{2x}{c\cos(x)}
Divide both sides by c\cos(x).
m=\frac{2x}{c\cos(x)}
Dividing by c\cos(x) undoes the multiplication by c\cos(x).
cm\cos(x)=2x
Swap sides so that all variable terms are on the left hand side.
m\cos(x)c=2x
The equation is in standard form.
\frac{m\cos(x)c}{m\cos(x)}=\frac{2x}{m\cos(x)}
Divide both sides by m\cos(x).
c=\frac{2x}{m\cos(x)}
Dividing by m\cos(x) undoes the multiplication by m\cos(x).
cm\cos(x)=2x
Swap sides so that all variable terms are on the left hand side.
c\cos(x)m=2x
The equation is in standard form.
\frac{c\cos(x)m}{c\cos(x)}=\frac{2x}{c\cos(x)}
Divide both sides by c\cos(x).
m=\frac{2x}{c\cos(x)}
Dividing by c\cos(x) undoes the multiplication by c\cos(x).
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