Solve for x
x=y_{2}^{2}+7
y_{2}\geq 0
Solve for x (complex solution)
x=y_{2}^{2}+7
arg(y_{2})<\pi \text{ or }y_{2}=0
Solve for y_2
y_{2}=\sqrt{x-7}
x\geq 7
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\sqrt{x-7}=y_{2}
Swap sides so that all variable terms are on the left hand side.
x-7=y_{2}^{2}
Square both sides of the equation.
x-7-\left(-7\right)=y_{2}^{2}-\left(-7\right)
Add 7 to both sides of the equation.
x=y_{2}^{2}-\left(-7\right)
Subtracting -7 from itself leaves 0.
x=y_{2}^{2}+7
Subtract -7 from y_{2}^{2}.
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