a. \(x.\left(x-1\right)+3x-3=0\\ \Leftrightarrow x\left(x-1\right)+3\left(x-1\right)=0\\ \Leftrightarrow\left(x+3\right)\left(x-1\right)=0\\ \Leftrightarrow\left\{{}\begin{matrix}x+3=0\\x-1=0\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=-3\\x=1\end{matrix}\right.\)
b. \(\left(2x+1\right)^2-4x.\left(x+3\right)=9\\ \Leftrightarrow4x^2+4x+4-4x^2-12x=9\\ \Leftrightarrow-8x+4=9\\ \Leftrightarrow-8x=5\\ \Leftrightarrow x=-\dfrac{5}{8}\)