a) \(6x^2-5x+3=2x-3x\left(3-2x\right)\)
\(\Leftrightarrow6x^2-5x+3=2x-9x+6x^2\)
\(\Leftrightarrow2x=-3\Leftrightarrow x=-\dfrac{3}{2}\)
b) \(\left(3x-1\right)\left(4x+3\right)=2\left(3x-1\right)\)
\(\Leftrightarrow\left(3x-1\right)\left(4x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=-\dfrac{1}{4}\end{matrix}\right.\)