\(\left(x+6\right)^2-\left(x-6\right)\left(x+6\right)=0\)
\(\Leftrightarrow\left(x+6\right)\left(x+6-6\right)=0\)
\(\Leftrightarrow x\left(x+6\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x+6=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-6\end{matrix}\right.\)
Vậy..
\(\left(x+6\right)^2-\left(x-6\right)\left(x+6\right)=0\)
\(\Leftrightarrow\left(x+6\right)\left(x+6-x-6\right)=0\)
\(\Leftrightarrow\left(x+6\right).0=0\)
\(\Leftrightarrow x+6=0\)
\(\Leftrightarrow x=-6\)
Vậy ................................