$$x^4+4x^3 = 0$$
Answer
$$ \begin{matrix}x_1 = 0 & x_2 = -4 \\[1 em] \end{matrix} $$
Explanation
In order to solve $ \color{blue}{ x^{4}+4x^{3} = 0 } $, first we need to factor our $ x^3 $.
$$ x^{4}+4x^{3} = x^3 \left( x+4 \right) $$$ x = 0 $ is a root of multiplicity $ 3 $.
The second root can be found by solving equation $ x+4 = 0$.
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