a) \(2x\left(x-3\right)+6\left(3-x\right)=0\)
\(\Leftrightarrow2\left[x\left(x-3\right)+3\left(3-x\right)\right]=0\)
\(\Leftrightarrow x\left(x-3\right)+3\left(3-x\right)=0\)
\(\Leftrightarrow x-3=0\)
\(\Rightarrow x=3\)
b) \(3x\left(2x-5\right)-15\left(5-2x\right)=0\)
\(\Leftrightarrow3\left[x\left(2x-5\right)-5\left(5-2x\right)\right]=0\)
\(\Leftrightarrow x\left(2x-5\right)-5\left(5-2x\right)=0\)
\(\Leftrightarrow\left(x+5\right)\left(2x-5\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+5=0\\2x-5=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=-5\\x=\frac{5}{2}\end{cases}}\)