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\sqrt{-x}=3\sqrt{5}
Swap sides so that all variable terms are on the left hand side.
-x=45
Square both sides of the equation.
\frac{-x}{-1}=\frac{45}{-1}
Divide both sides by -1.
x=\frac{45}{-1}
Dividing by -1 undoes the multiplication by -1.
x=-45
Divide 45 by -1.