\(x^2-49=0\)
\(\Leftrightarrow x^2=49\)
\(\Leftrightarrow x^2=\left(\pm7\right)^2\)
\(\Leftrightarrow\left[{}\begin{matrix}x=7\\x=-7\end{matrix}\right.\)
\(x^2-49=x^2-7^2=\left(x-7\right)\left(x+7\right)\)
\(x^2-49=x^2-7^2=\left(x+7\right)\left(x-7\right)\)
\(x^2-49=\left(x-7\right)\left(x+7\right)\)