\(\Leftrightarrow\left\{{}\begin{matrix}\Delta'=36-2\left(6m-1\right)>0\\x_1+x_2=\frac{12}{4}>0\\x_1x_2=\frac{6m-1}{2}>0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}m< \frac{19}{6}\\m>\frac{1}{6}\end{matrix}\right.\) \(\Rightarrow\frac{1}{6}< m< \frac{19}{6}\)