Solve for x
x=y^{2}-8
y\geq 0
Solve for x (complex solution)
x=y^{2}-8
arg(y)<\pi \text{ or }y=0
Solve for y
y=\sqrt{x+8}
x\geq -8
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\sqrt{x+8}=y
Swap sides so that all variable terms are on the left hand side.
x+8=y^{2}
Square both sides of the equation.
x+8-8=y^{2}-8
Subtract 8 from both sides of the equation.
x=y^{2}-8
Subtracting 8 from itself leaves 0.
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