\(\left(x-6\right)\left(x-6\right)-x\left(x-4\right)=4\)
\(\Leftrightarrow x^2-12x+36-x^2+4x=4\)
\(\Leftrightarrow36-8x=4\)
\(\Leftrightarrow8x=36-4\)
\(\Leftrightarrow8x=32\)
\(\Leftrightarrow x=32:8\)
\(\Leftrightarrow x=4\)
\(\left(x-6\right)\left(x-6\right)-x\left(x-4\right)=4\)
\(x^2-6^2-x^2-4x=4\)
\(6^2-4x=4\)
\(4x=36+4\)
\(4x=40\)
\(x=10\)