Solve for x
x=84
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\sqrt{\frac{4}{3}x+9}=11
Divide each term of 4x+27 by 3 to get \frac{4}{3}x+9.
\frac{4}{3}x+9=121
Square both sides of the equation.
\frac{4}{3}x+9-9=121-9
Subtract 9 from both sides of the equation.
\frac{4}{3}x=121-9
Subtracting 9 from itself leaves 0.
\frac{4}{3}x=112
Subtract 9 from 121.
\frac{\frac{4}{3}x}{\frac{4}{3}}=\frac{112}{\frac{4}{3}}
Divide both sides of the equation by \frac{4}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{112}{\frac{4}{3}}
Dividing by \frac{4}{3} undoes the multiplication by \frac{4}{3}.
x=84
Divide 112 by \frac{4}{3} by multiplying 112 by the reciprocal of \frac{4}{3}.
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