Solve for y
y=-\frac{\left(x+1\right)^{2}}{2}
Solve for x (complex solution)
x=-i\sqrt{2y}-1
x=i\sqrt{2y}-1
Solve for x
x=-\left(\sqrt{-2y}+1\right)
x=\sqrt{-2y}-1\text{, }y\leq 0
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y=-0.5\left(x^{2}+2x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
y=-0.5x^{2}-x-0.5
Use the distributive property to multiply -0.5 by x^{2}+2x+1.
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