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\sqrt{\frac{1}{2}x}-18-\left(-18\right)=-\left(-18\right)
Add 18 to both sides of the equation.
\sqrt{\frac{1}{2}x}=-\left(-18\right)
Subtracting -18 from itself leaves 0.
\sqrt{\frac{1}{2}x}=18
Subtract -18 from 0.
\frac{1}{2}x=324
Square both sides of the equation.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{324}{\frac{1}{2}}
Multiply both sides by 2.
x=\frac{324}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=648
Divide 324 by \frac{1}{2} by multiplying 324 by the reciprocal of \frac{1}{2}.