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\frac{10\sqrt{100x}}{10}=\frac{6}{10}
Divide both sides by 10.
\sqrt{100x}=\frac{6}{10}
Dividing by 10 undoes the multiplication by 10.
\sqrt{100x}=\frac{3}{5}
Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
100x=\frac{9}{25}
Square both sides of the equation.
\frac{100x}{100}=\frac{\frac{9}{25}}{100}
Divide both sides by 100.
x=\frac{\frac{9}{25}}{100}
Dividing by 100 undoes the multiplication by 100.
x=\frac{9}{2500}
Divide \frac{9}{25} by 100.