\(3x^2-5x-6x+10=0\)
\(3x^2-11x+10=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x_1=2\\x_2=\dfrac{5}{3}\end{matrix}\right.\)
\(\Leftrightarrow\left(3x-5\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-5=0\\x-2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}3x=5\\x=2\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=2\end{matrix}\right.\)