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ae^{2}=-\frac{1}{2}
Subtract \frac{1}{2} from both sides. Anything subtracted from zero gives its negation.
e^{2}a=-\frac{1}{2}
The equation is in standard form.
\frac{e^{2}a}{e^{2}}=-\frac{\frac{1}{2}}{e^{2}}
Divide both sides by e^{2}.
a=-\frac{\frac{1}{2}}{e^{2}}
Dividing by e^{2} undoes the multiplication by e^{2}.
a=-\frac{1}{2e^{2}}
Divide -\frac{1}{2} by e^{2}.