\(\left(3x-\frac{5}{12}\right)^2-\frac{121}{64}=0\)
\(\left(3x-\frac{5}{12}\right)^2=\frac{121}{64}\)
\(3x-\frac{5}{12}=\sqrt{\frac{121}{64}}\)
\(3x-\frac{5}{12}=\frac{11}{8}\)
\(3x=\frac{11}{8}+\frac{5}{12}\)
\(3x=\frac{33}{24}+\frac{10}{24}\)
\(3x=\frac{43}{24}\)
\(x=\frac{43}{24}:3\)
\(x=\frac{43}{24}\cdot\frac{1}{3}\)
\(x=\frac{43}{72}\)