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\frac{10\sqrt{9x}}{10}=\frac{5}{10}
Divide both sides by 10.
\sqrt{9x}=\frac{5}{10}
Dividing by 10 undoes the multiplication by 10.
\sqrt{9x}=\frac{1}{2}
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
9x=\frac{1}{4}
Square both sides of the equation.
\frac{9x}{9}=\frac{\frac{1}{4}}{9}
Divide both sides by 9.
x=\frac{\frac{1}{4}}{9}
Dividing by 9 undoes the multiplication by 9.
x=\frac{1}{36}
Divide \frac{1}{4} by 9.