Question
$$(3x^3-x+11)(x^2+2x+8) = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} (3x^3-x+11)(x^2+2x+8) &= 0&& \text{simplify left side} \\[1 em]3x^5+6x^4+23x^3+9x^2+14x+88 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
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Polynomial Equations Solver