$$x^4+2x^3+3x^2+4x = 23466$$
Answer
$$ \begin{matrix}x_1 = 11.8435 & x_2 = -12.85003 & x_3 = -0.49674+12.40736i \\[1 em] x_4 = -0.49674-12.40736i & \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^4+2x^3+3x^2+4x &= 23466&& \text{move all terms to the left hand side } \\[1 em]x^4+2x^3+3x^2+4x-23466 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
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