Solve for y
y=-2\left(x+5\right)^{2}+1
Solve for x (complex solution)
x=-\frac{\sqrt{2-2y}}{2}-5
x=\frac{\sqrt{2-2y}}{2}-5
Solve for x
x=-\frac{\sqrt{2-2y}}{2}-5
x=\frac{\sqrt{2-2y}}{2}-5\text{, }y\leq 1
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y=-2\left(x^{2}+10x+25\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
y=-2x^{2}-20x-50+1
Use the distributive property to multiply -2 by x^{2}+10x+25.
y=-2x^{2}-20x-49
Add -50 and 1 to get -49.
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