Solve for m
m=\frac{e}{c^{2}}
c\neq 0
Solve for c
c=\sqrt{\frac{e}{m}}
c=-\sqrt{\frac{e}{m}}\text{, }m>0
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mc^{2}=e
Swap sides so that all variable terms are on the left hand side.
c^{2}m=e
The equation is in standard form.
\frac{c^{2}m}{c^{2}}=\frac{e}{c^{2}}
Divide both sides by c^{2}.
m=\frac{e}{c^{2}}
Dividing by c^{2} undoes the multiplication by c^{2}.
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