Question
$$5x+4x^2+12x+15+8x^3+16x^2+2x+3x^3 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 5x+4x^2+12x+15+8x^3+16x^2+2x+3x^3 &= 0&& \text{simplify left side} \\[1 em]11x^3+20x^2+19x+15 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
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Equations Solver