Solve for x
x=-8
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\sqrt{6x+57}+6-6=9-6
Subtract 6 from both sides of the equation.
\sqrt{6x+57}=9-6
Subtracting 6 from itself leaves 0.
\sqrt{6x+57}=3
Subtract 6 from 9.
6x+57=9
Square both sides of the equation.
6x+57-57=9-57
Subtract 57 from both sides of the equation.
6x=9-57
Subtracting 57 from itself leaves 0.
6x=-48
Subtract 57 from 9.
\frac{6x}{6}=-\frac{48}{6}
Divide both sides by 6.
x=-\frac{48}{6}
Dividing by 6 undoes the multiplication by 6.
x=-8
Divide -48 by 6.
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