Solve for f
f=c^{2}-2n
c\geq 0
Solve for f (complex solution)
f=c^{2}-2n
arg(c)<\pi \text{ or }c=0
Solve for c
c=\sqrt{2n+f}
n\geq -\frac{f}{2}
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\sqrt{2n+f}=c
Swap sides so that all variable terms are on the left hand side.
f+2n=c^{2}
Square both sides of the equation.
f+2n-2n=c^{2}-2n
Subtract 2n from both sides of the equation.
f=c^{2}-2n
Subtracting 2n from itself leaves 0.
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