Solve for y
y=2\left(\left(x-5\right)^{2}-8\right)
Solve for x (complex solution)
x=-\frac{\sqrt{2y+32}}{2}+5
x=\frac{\sqrt{2y+32}}{2}+5
Solve for x
x=-\frac{\sqrt{2y+32}}{2}+5
x=\frac{\sqrt{2y+32}}{2}+5\text{, }y\geq -16
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y=2\left(x^{2}-10x+25\right)-16
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
y=2x^{2}-20x+50-16
Use the distributive property to multiply 2 by x^{2}-10x+25.
y=2x^{2}-20x+34
Subtract 16 from 50 to get 34.
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