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\sqrt{3x}=z
Swap sides so that all variable terms are on the left hand side.
3x=z^{2}
Square both sides of the equation.
\frac{3x}{3}=\frac{z^{2}}{3}
Divide both sides by 3.
x=\frac{z^{2}}{3}
Dividing by 3 undoes the multiplication by 3.