$$2 = 3x^3-6x^5-x^6$$
Answer
$$ \begin{matrix}x_1 = -1 & x_2 = -5.91395 & x_3 = 0.72232+0.36743i \\[1 em] x_4 = 0.72232-0.36743i & x_5 = -0.26534+0.66673i & x_6 = -0.26534-0.66673i \end{matrix} $$
Explanation
$$ \begin{aligned} 2 &= 3x^3-6x^5-x^6&& \text{simplify right side} \\[1 em]2 &= -x^6-6x^5+3x^3&& \text{move all terms to the left hand side } \\[1 em]2+x^6+6x^5-3x^3 &= 0&& \text{simplify left side} \\[1 em]x^6+6x^5-3x^3+2 &= 0&& \\[1 em] \end{aligned} $$
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