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\frac{5}{3}=\sqrt{-x}
Divide both sides by 3.
\sqrt{-x}=\frac{5}{3}
Swap sides so that all variable terms are on the left hand side.
-x=\frac{25}{9}
Square both sides of the equation.
\frac{-x}{-1}=\frac{\frac{25}{9}}{-1}
Divide both sides by -1.
x=\frac{\frac{25}{9}}{-1}
Dividing by -1 undoes the multiplication by -1.
x=-\frac{25}{9}
Divide \frac{25}{9} by -1.