Solve for y
y=-\frac{\left(x+7\right)^{2}}{3}+2
Solve for x (complex solution)
x=-\sqrt{6-3y}-7
x=\sqrt{6-3y}-7
Solve for x
x=-\sqrt{6-3y}-7
x=\sqrt{6-3y}-7\text{, }y\leq 2
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y=-\frac{1}{3}\left(x^{2}+14x+49\right)+2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+7\right)^{2}.
y=-\frac{1}{3}x^{2}-\frac{14}{3}x-\frac{49}{3}+2
Use the distributive property to multiply -\frac{1}{3} by x^{2}+14x+49.
y=-\frac{1}{3}x^{2}-\frac{14}{3}x-\frac{43}{3}
Add -\frac{49}{3} and 2 to get -\frac{43}{3}.
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