\(-x^2+25x=0\)
\(\Rightarrow x\left(-x+25\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\-x+25=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=25\end{cases}}}\)
\(-x^2+25x=0\)
\(\Leftrightarrow-\left(x^2-25\right)=0\)
\(\Leftrightarrow-\left(x-5\right)\left(x+5\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-5=0\\x+5=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=5\\x=-5\end{cases}}}\)