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\sqrt{4-9x}=9
Swap sides so that all variable terms are on the left hand side.
-9x+4=81
Square both sides of the equation.
-9x+4-4=81-4
Subtract 4 from both sides of the equation.
-9x=81-4
Subtracting 4 from itself leaves 0.
-9x=77
Subtract 4 from 81.
\frac{-9x}{-9}=\frac{77}{-9}
Divide both sides by -9.
x=\frac{77}{-9}
Dividing by -9 undoes the multiplication by -9.
x=-\frac{77}{9}
Divide 77 by -9.