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\sqrt{2x+2}=0
Use the distributive property to multiply x+1 by 2.
2x+2=0
Square both sides of the equation.
2x+2-2=-2
Subtract 2 from both sides of the equation.
2x=-2
Subtracting 2 from itself leaves 0.
\frac{2x}{2}=-\frac{2}{2}
Divide both sides by 2.
x=-\frac{2}{2}
Dividing by 2 undoes the multiplication by 2.
x=-1
Divide -2 by 2.