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\sqrt{2-6x}=0
Swap sides so that all variable terms are on the left hand side.
-6x+2=0
Square both sides of the equation.
-6x+2-2=-2
Subtract 2 from both sides of the equation.
-6x=-2
Subtracting 2 from itself leaves 0.
\frac{-6x}{-6}=-\frac{2}{-6}
Divide both sides by -6.
x=-\frac{2}{-6}
Dividing by -6 undoes the multiplication by -6.
x=\frac{1}{3}
Reduce the fraction \frac{-2}{-6} to lowest terms by extracting and canceling out 2.