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\sqrt{2}a=10
The equation is in standard form.
\frac{\sqrt{2}a}{\sqrt{2}}=\frac{10}{\sqrt{2}}
Divide both sides by \sqrt{2}.
a=\frac{10}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
a=5\sqrt{2}
Divide 10 by \sqrt{2}.