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\sqrt{625x}=\frac{12}{125}
Swap sides so that all variable terms are on the left hand side.
625x=\frac{144}{15625}
Square both sides of the equation.
\frac{625x}{625}=\frac{\frac{144}{15625}}{625}
Divide both sides by 625.
x=\frac{\frac{144}{15625}}{625}
Dividing by 625 undoes the multiplication by 625.
x=\frac{144}{9765625}
Divide \frac{144}{15625} by 625.