Solve for y
y=2\left(\left(x+6\right)^{2}-18\right)
Solve for x (complex solution)
x=-\frac{\sqrt{2y+72}}{2}-6
x=\frac{\sqrt{2y+72}}{2}-6
Solve for x
x=-\frac{\sqrt{2y+72}}{2}-6
x=\frac{\sqrt{2y+72}}{2}-6\text{, }y\geq -36
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y=2\left(x^{2}+12x+36\right)-36
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
y=2x^{2}+24x+72-36
Use the distributive property to multiply 2 by x^{2}+12x+36.
y=2x^{2}+24x+36
Subtract 36 from 72 to get 36.
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