a: \(x^2-4x=0\)
=>x(x-4)=0
=>\(\left[{}\begin{matrix}x=0\\x-4=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=4\end{matrix}\right.\)
b: \(\left(2x+1\right)^2-4x\left(x+3\right)=9\)
=>\(4x^2+4x+1-4x^2-12x=9\)
=>-8x=9-1=8
=>x=-1
c: \(x^2-12x=-36\)
=>\(x^2-12x+36=0\)
=>\(\left(x-6\right)^2=0\)
=>x-6=0
=>x=6