\(\left(x+3\right)\left(x^2-3x+9\right)-x\left(x-2\right)^2=27\)
\(\Leftrightarrow\left(x^3+x^3\right)-x\left(x^2-4x+4\right)=27\)
\(\Leftrightarrow x^3+27-x^3+4x^2-4x=27\)
\(\Leftrightarrow4x^2-4x=0\)
\(\Leftrightarrow4x\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}4x=0\\x-1=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
Vậy.............