Solve for y
y=\left(x+7\right)^{2}+8
Solve for x (complex solution)
x=-\left(\sqrt{y-8}+7\right)
x=\sqrt{y-8}-7
Solve for x
x=-\left(\sqrt{y-8}+7\right)
x=\sqrt{y-8}-7\text{, }y\geq 8
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y=x^{2}+14x+49+8
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+7\right)^{2}.
y=x^{2}+14x+57
Add 49 and 8 to get 57.
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