Solve for m
m=4\left(n^{2}-1\right)
Solve for n
n=\frac{\sqrt{m+4}}{2}
n=-\frac{\sqrt{m+4}}{2}\text{, }m\geq -4
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4n^{2}+4=8+m
Use the distributive property to multiply 4 by n^{2}+1.
8+m=4n^{2}+4
Swap sides so that all variable terms are on the left hand side.
m=4n^{2}+4-8
Subtract 8 from both sides.
m=4n^{2}-4
Subtract 8 from 4 to get -4.
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