a. 2x2(x - 3) - 2x(3 - x) = 0
<=> 2x2(x - 3) + 2x(x - 3) = 0
<=> (2x2 + 2x)(x - 3) = 0
<=> 2x(x + 1)(x - 3) = 0
<=> \(\left[{}\begin{matrix}2x=0\\x+1=0\\x-3=0\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=0\\x=-1\\x=3\end{matrix}\right.\)
b. 4x(x - 2) - x + 2 = 0
<=> 4x(x - 2) - (x - 2) = 0
<=> (4x - 1)(x - 2) = 0
<=> \(\left[{}\begin{matrix}4x-1=0\\x-2=0\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=\dfrac{1}{4}\\x=2\end{matrix}\right.\)