\(a,=x\left(x-6\right)+2\left(x-6\right)=\left(x+2\right)\left(x-6\right)\\ b,=\dfrac{6x-12-7x+14}{x\left(x-2\right)}=\dfrac{-x+2}{x\left(x-2\right)}=\dfrac{-1}{x}\\ c,\Leftrightarrow2\left(5x+4\right)-4x\left(5x+4\right)=0\\ \Leftrightarrow\left(2-4x\right)\left(5x+4\right)=0\\ \Leftrightarrow\left(1-2x\right)\left(5x+4\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=-\dfrac{4}{5}\end{matrix}\right.\)