\(4.\left(x+1\right)^2+\left(2x-1\right)^2-8\left(x-1\right)\left(x+1\right)=11\)
\(\Leftrightarrow4\left(x^2+2x+1\right)+\left(4x^2-4x+1\right)-8\left(x^2-1\right)-11=0\)
\(\Leftrightarrow4x^2+8x+4+4x^2-4x+1-8x^2+8-11=0\)
\(\Leftrightarrow4x+1=0\Leftrightarrow4x=-1\Leftrightarrow x=-\frac{1}{4}\)