1003189106
Level:
A
Given \( x\in\mathbb{R} \), find the solution set of the following equation.
\[ 2x^4+x^3+2x^2+x=0 \]
Hint: Decompose the polynomial on the left side of the equation into factors.
\( \left\{-\frac12,0\right\} \)
\( \{-1,0\} \)
\( \left\{-1,0,\frac12,1\right\} \)
\( \left\{-\frac{\sqrt2}2,0,1,\frac{\sqrt2}2\right\} \)