Câu 1:
a)\(\left(x+2\right)^2-x\left(x+2\right)=0\Leftrightarrow2\left(x+2\right)=0\Leftrightarrow x=-2\)
b) \(\dfrac{2x+7}{3}-\dfrac{x-2}{4}=2\Leftrightarrow\dfrac{8x+28}{12}-\dfrac{3x-6}{12}=2\)
\(\Leftrightarrow\dfrac{5x+34}{12}=2\Leftrightarrow5x+34=24\Leftrightarrow5x=-10\Leftrightarrow x=-2\)
c)\(\left|x+5\right|=3x+1\Leftrightarrow\left\{{}\begin{matrix}x+5=3x+1\\x+5=-3x-1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2\\x=\dfrac{-3}{2}\end{matrix}\right.\)