Solve for x
x=\frac{2n}{\sqrt{4n^{2}+1}}
Solve for n
n=\frac{\sqrt{-\frac{1}{x^{2}-1}}x}{2}
x>-1\text{ and }x<1
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\sqrt{4n^{2}+1}x=2n
Swap sides so that all variable terms are on the left hand side.
\frac{\sqrt{4n^{2}+1}x}{\sqrt{4n^{2}+1}}=\frac{2n}{\sqrt{4n^{2}+1}}
Divide both sides by \sqrt{4n^{2}+1}.
x=\frac{2n}{\sqrt{4n^{2}+1}}
Dividing by \sqrt{4n^{2}+1} undoes the multiplication by \sqrt{4n^{2}+1}.
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