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\frac{10\sqrt{9x}}{10}=\frac{6}{10}
Divide both sides by 10.
\sqrt{9x}=\frac{6}{10}
Dividing by 10 undoes the multiplication by 10.
\sqrt{9x}=\frac{3}{5}
Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
9x=\frac{9}{25}
Square both sides of the equation.
\frac{9x}{9}=\frac{\frac{9}{25}}{9}
Divide both sides by 9.
x=\frac{\frac{9}{25}}{9}
Dividing by 9 undoes the multiplication by 9.
x=\frac{1}{25}
Divide \frac{9}{25} by 9.