Solve for N
N=2c_{2}^{2}
Solve for c_2
c_{2}=\frac{\sqrt{2N}}{2}
c_{2}=-\frac{\sqrt{2N}}{2}\text{, }N\geq 0
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N=2c_{2}^{2}
Combine c_{2}^{2} and c_{2}^{2} to get 2c_{2}^{2}.
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