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\frac{10\sqrt{8x}}{10}=\frac{4556}{10}
Divide both sides by 10.
\sqrt{8x}=\frac{4556}{10}
Dividing by 10 undoes the multiplication by 10.
\sqrt{8x}=\frac{2278}{5}
Reduce the fraction \frac{4556}{10} to lowest terms by extracting and canceling out 2.
8x=\frac{5189284}{25}
Square both sides of the equation.
\frac{8x}{8}=\frac{\frac{5189284}{25}}{8}
Divide both sides by 8.
x=\frac{\frac{5189284}{25}}{8}
Dividing by 8 undoes the multiplication by 8.
x=\frac{1297321}{50}
Divide \frac{5189284}{25} by 8.