\(9\left(x-3\right)^2=4\left(x+2\right)^2\\ =>9\left(x^2-6x+9\right)=4\left(x^2+4x+4\right)\\ =>9x^2-54x+81-4x^2-16x-16=0\\ =>5x^2-70x+65=0\\ =>5x^2-5x-65x+65=0\\ =>5x\left(x-1\right)-65\left(x-1\right)=0\\ =>\left(5x-65\right)\left(x-1\right)=0\\ =>\left[{}\begin{matrix}x-1=0\\5x-65=0\end{matrix}\right.\\ =>\left[{}\begin{matrix}x=1\\x=13\end{matrix}\right.\)