Solve for a
a=\left(b+6\right)^{2}+2
b+6\geq 0\text{ and }b\leq -6
Solve for b
b=-6
a=2
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\sqrt{a-2}+|b+6|-|b+6|=-|b+6|
Subtract |b+6| from both sides of the equation.
\sqrt{a-2}=-|b+6|
Subtracting |b+6| from itself leaves 0.
a-2=\left(b+6\right)^{2}
Square both sides of the equation.
a-2-\left(-2\right)=\left(b+6\right)^{2}-\left(-2\right)
Add 2 to both sides of the equation.
a=\left(b+6\right)^{2}-\left(-2\right)
Subtracting -2 from itself leaves 0.
a=\left(b+6\right)^{2}+2
Subtract -2 from \left(b+6\right)^{2}.
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