\(\left(x-3\right)^3-2\left(x-1\right)=x\left(x-2\right)^2-5x^2\)
\(\Leftrightarrow x^3-6x^2+9x-3x^2+18x-27-2x+2=x^3-4x^2+4x-5x^2\)
\(\Leftrightarrow x^3-9x^2+25x-25=x^3-9x^2+4x-5x^2\)
\(\Leftrightarrow x^3-9x^2+25x-25=x^3-9x^2+4x\)
\(\Leftrightarrow-9x^2+25x-25=-9x^2+4x\)
\(\Leftrightarrow25x-25=4x\)
\(\Leftrightarrow-25=4x-25x\)
\(\Leftrightarrow-25=-21x\)
\(\Leftrightarrow x=\frac{21}{25}\)
\(Pt\Leftrightarrow x^3-1-3x^2+3x-2x+2-x^3+4x^2-4x+5x^2=0\)
\(\Leftrightarrow6x^2-5x+1=0\)
\(\Leftrightarrow x=\frac{3\pm\sqrt{3}}{6}\)
