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\frac{1}{2}x+3=0
Square both sides of the equation.
\frac{1}{2}x+3-3=-3
Subtract 3 from both sides of the equation.
\frac{1}{2}x=-3
Subtracting 3 from itself leaves 0.
\frac{\frac{1}{2}x}{\frac{1}{2}}=-\frac{3}{\frac{1}{2}}
Multiply both sides by 2.
x=-\frac{3}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=-6
Divide -3 by \frac{1}{2} by multiplying -3 by the reciprocal of \frac{1}{2}.