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\frac{35\sqrt{x-16}}{35}=\frac{501}{35}
Divide both sides by 35.
\sqrt{x-16}=\frac{501}{35}
Dividing by 35 undoes the multiplication by 35.
x-16=\frac{251001}{1225}
Square both sides of the equation.
x-16-\left(-16\right)=\frac{251001}{1225}-\left(-16\right)
Add 16 to both sides of the equation.
x=\frac{251001}{1225}-\left(-16\right)
Subtracting -16 from itself leaves 0.
x=\frac{270601}{1225}
Subtract -16 from \frac{251001}{1225}.