`(x+2)^2=9(x^2-4x+4)`
`<=>x^2+4x+4=9x^2-36x+36`
`<=>x^2+4x+4-9x^2+36x-36=0`
`<=>-8x^2+40x-32=0`
`<=>-8x^2+8x+32x-32=0`
`<=>-8x(x-1)+32(x-1)=0`
`<=>(x-1)(-8x+32)=0`
`<=>-8(x-1)(x-4)=0`
`<=>`\(\left[ \begin{array}{l}x-1=0\\x-4=0\end{array} \right.\)
`<=>`\(\left[ \begin{array}{l}x=1\\x=4\end{array} \right.\)