`(x-1)^3+(2-x)(4-2x+x^2)+3x(x+3)=16`
`⇔x^3-3x^2+3x-1+8-8x+4x^2-x^3+3x^2+9x=16`
`⇔4x^2+4x+7=16`
`⇔4x^2+4x+1=10`
`⇔(2x+1)^2=10`
`⇔`\(\left[ \begin{array}{l}2x+1=\sqrt(10)\\2x+1=-\sqrt(10)\end{array} \right.\)
`⇔`\(\left[ \begin{array}{l}x=(\sqrt(10)-1)/2\\x=(-1-\sqrt(10))/2\end{array} \right.\)