Solve for y
y=-\left(\left(x+3\right)^{2}+6\right)
Solve for x (complex solution)
x=-i\sqrt{y+6}-3
x=i\sqrt{y+6}-3
Solve for x
x=-\left(\sqrt{-y-6}+3\right)
x=\sqrt{-y-6}-3\text{, }y\leq -6
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y=-\left(x^{2}+6x+9\right)-6
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
y=-x^{2}-6x-9-6
To find the opposite of x^{2}+6x+9, find the opposite of each term.
y=-x^{2}-6x-15
Subtract 6 from -9 to get -15.
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