Solve for c
c=\frac{x^{2}}{12}-\frac{2x}{3}+y
Solve for x (complex solution)
x=-2\sqrt{4+3c-3y}+4
x=2\sqrt{4+3c-3y}+4
Solve for x
x=-2\sqrt{4+3c-3y}+4
x=2\sqrt{4+3c-3y}+4\text{, }y\leq c+\frac{4}{3}
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-\frac{1}{12}x^{2}+\frac{2}{3}x+c=y
Swap sides so that all variable terms are on the left hand side.
\frac{2}{3}x+c=y+\frac{1}{12}x^{2}
Add \frac{1}{12}x^{2} to both sides.
c=y+\frac{1}{12}x^{2}-\frac{2}{3}x
Subtract \frac{2}{3}x from both sides.
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