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Solve for z
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z+2=\sqrt{2} z+2=-\sqrt{2}
Take the square root of both sides of the equation.
z+2-2=\sqrt{2}-2 z+2-2=-\sqrt{2}-2
Subtract 2 from both sides of the equation.
z=\sqrt{2}-2 z=-\sqrt{2}-2
Subtracting 2 from itself leaves 0.