a) Ta có: \(\left(x+5\right)\left(x-4\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x+5=0\\x-4=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=-5\\x=4\end{matrix}\right.\)
Vậy \(\left[{}\begin{matrix}x=-5\\x=4\end{matrix}\right.\).
b) \(\left(3-x\right)\left(x-3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}3-x=0\\x-3=0\end{matrix}\right.\) \(\Rightarrow x=3\)
Vậy \(x=3\).
c) \(5\left(x+1\right)-3^2=3\left(2+x\right)-8\)
\(\Rightarrow5x+5-9=6+3x-8\)
\(\Rightarrow5x-3x=-5+9-8\)
\(\Rightarrow2x=-4\)
\(\Rightarrow x=-2\)
Vậy \(x=-2.\)