Ta có:
$|x^2+3x-4|+|x^{2011}+2011x-2012|=0$
$\Leftrightarrow \left\{\begin{array}{l}|x^2+3x-4|=0\\|x^{2011}+2011x-2012|=0\end{array}\right.$
$\Leftrightarrow \left\{\begin{array}{l}x^2+3x-4=0\\x^{2011}+2011x-2012=0\end{array}\right.$
$\Leftrightarrow \left\{\begin{array}{l}\left[\begin{array}{l}x=1\\x=-4\end{array}\right.\\x^{2011}+2011x-2012=0\end{array}\right. \Leftrightarrow x=1$