Solve for a
a=\frac{\sqrt{2}c}{2}
Solve for c
c=\sqrt{2}a
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\sqrt{2}a=c
Swap sides so that all variable terms are on the left hand side.
\frac{\sqrt{2}a}{\sqrt{2}}=\frac{c}{\sqrt{2}}
Divide both sides by \sqrt{2}.
a=\frac{c}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
a=\frac{\sqrt{2}c}{2}
Divide c by \sqrt{2}.
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