Solve for n
n=\frac{2x^{2}+y}{3e}
Solve for x (complex solution)
x=-\frac{\sqrt{6en-2y}}{2}
x=\frac{\sqrt{6en-2y}}{2}
Solve for x
x=\frac{\sqrt{6en-2y}}{2}
x=-\frac{\sqrt{6en-2y}}{2}\text{, }y\leq 3en
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-2x^{2}+3en=y
Swap sides so that all variable terms are on the left hand side.
3en=y+2x^{2}
Add 2x^{2} to both sides.
3en=2x^{2}+y
The equation is in standard form.
\frac{3en}{3e}=\frac{2x^{2}+y}{3e}
Divide both sides by 3e.
n=\frac{2x^{2}+y}{3e}
Dividing by 3e undoes the multiplication by 3e.
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