\(\left(x^3+4x^2+4x\right):x=0\) (ĐK: \(x\ne0\))
\(\Leftrightarrow\left(x^3+4x^2+4x\right)\cdot\dfrac{1}{x}=0\)
\(\Leftrightarrow\dfrac{x^3}{x}+\dfrac{4x^2}{x}+\dfrac{4x}{x}=0\)
\(\Leftrightarrow x^2+4x+4=0\)
\(\Leftrightarrow x^2+2\cdot2\cdot x+2^2=0\)
\(\Leftrightarrow\left(x+2\right)^2=0\)
\(\Leftrightarrow x+2=0\)
\(\Leftrightarrow x=-2\left(tm\right)\)
Vậy: \(x=-2\)