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\sqrt{2}u=\frac{1}{2}
Swap sides so that all variable terms are on the left hand side.
\frac{\sqrt{2}u}{\sqrt{2}}=\frac{\frac{1}{2}}{\sqrt{2}}
Divide both sides by \sqrt{2}.
u=\frac{\frac{1}{2}}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
u=\frac{\sqrt{2}}{4}
Divide \frac{1}{2} by \sqrt{2}.