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\frac{4\sqrt{x}}{4}=\frac{6}{4}
Divide both sides by 4.
\sqrt{x}=\frac{6}{4}
Dividing by 4 undoes the multiplication by 4.
\sqrt{x}=\frac{3}{2}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
x=\frac{9}{4}
Square both sides of the equation.