\(a.\left(3-x\right)^2-12+4x=0\)
\(\Rightarrow\left(3-x\right)^2-4.\left(3-x\right)=0\)
\(\Rightarrow\left(3-x\right)\left(-x-1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}3-x=0\\-x-1=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=-1\end{cases}}\)
\(b.\left(4x-5\right)^2-2.\left(16x^2-25\right)=0\)
\(\Rightarrow\left(4x-5\right)^2-2.\left(4x+5\right).\left(4x-5\right)=0\)
\(\Rightarrow\left(4x-5\right)\left(4x-5-8x-10\right)=0\)
\(\Rightarrow\left(4x-5\right)\left(-4x-15\right)=0\)
\(\Rightarrow\orbr{\begin{cases}4x-5=0\\-4x-15=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{5}{4}\\x=\frac{-15}{4}\end{cases}}\)