\(\left|2020x^2+4040x\right|=\left|x+2\right|\)
\(\Leftrightarrow\left|2020x\left(x+2\right)\right|=\left|x+2\right|\)
\(\Leftrightarrow\left|x+2\right|\left|2020x\right|=\left|x+2\right|\)
\(\Leftrightarrow\left|x+2\right|\left|2020x\right|-\left|x+2\right|=0\)
\(\Leftrightarrow\left|x+2\right|\left(\left|2020x\right|-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left|x+2\right|=0\\\left|2020x\right|-1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-2\\x\in\left\{\frac{1}{2020};\frac{-1}{2020}\right\}\end{cases}}\)
