a, \(\left(2x-4\right)\left(x+2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}2x-4=0\\x+2=0\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\)
b, \(\left(19-51\right)-x=6\)
\(\Leftrightarrow-32-x=6\Rightarrow x=-38\)
c, \(-5x-10.\left(-7\right)=55\)
\(\Leftrightarrow-5x+70=55\)
\(\Leftrightarrow-5x=-15\)
\(\Leftrightarrow x=3\)