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e^{2}x=\frac{1}{2}
The equation is in standard form.
\frac{e^{2}x}{e^{2}}=\frac{\frac{1}{2}}{e^{2}}
Divide both sides by e^{2}.
x=\frac{\frac{1}{2}}{e^{2}}
Dividing by e^{2} undoes the multiplication by e^{2}.
x=\frac{1}{2e^{2}}
Divide \frac{1}{2} by e^{2}.