Solve for y
y=2\left(x+4\right)^{2}-5
Solve for x (complex solution)
x=-\frac{\sqrt{2y+10}}{2}-4
x=\frac{\sqrt{2y+10}}{2}-4
Solve for x
x=-\frac{\sqrt{2y+10}}{2}-4
x=\frac{\sqrt{2y+10}}{2}-4\text{, }y\geq -5
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y=2\left(x^{2}+8x+16\right)-5
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
y=2x^{2}+16x+32-5
Use the distributive property to multiply 2 by x^{2}+8x+16.
y=2x^{2}+16x+27
Subtract 5 from 32 to get 27.
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