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\frac{400}{500}=\sqrt{x}
Divide both sides by 500.
\frac{4}{5}=\sqrt{x}
Reduce the fraction \frac{400}{500} to lowest terms by extracting and canceling out 100.
\sqrt{x}=\frac{4}{5}
Swap sides so that all variable terms are on the left hand side.
x=\frac{16}{25}
Square both sides of the equation.