Solve for E
\left\{\begin{matrix}E=\frac{mv^{2}}{2c}\text{, }&c\neq 0\\E\in \mathrm{R}\text{, }&\left(m=0\text{ or }v=0\right)\text{ and }c=0\end{matrix}\right.
Solve for c
\left\{\begin{matrix}c=\frac{mv^{2}}{2E}\text{, }&E\neq 0\\c\in \mathrm{R}\text{, }&\left(m=0\text{ or }v=0\right)\text{ and }E=0\end{matrix}\right.
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cE=\frac{mv^{2}}{2}
The equation is in standard form.
\frac{cE}{c}=\frac{mv^{2}}{2c}
Divide both sides by c.
E=\frac{mv^{2}}{2c}
Dividing by c undoes the multiplication by c.
Ec=\frac{mv^{2}}{2}
The equation is in standard form.
\frac{Ec}{E}=\frac{mv^{2}}{2E}
Divide both sides by E.
c=\frac{mv^{2}}{2E}
Dividing by E undoes the multiplication by E.
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