$$35x^3+14x^2+2x+9 = 4$$
Answer
$$ \begin{matrix}x_1 = -0.65011 & x_2 = 0.12506+0.45178i & x_3 = 0.12506-0.45178i \end{matrix} $$
Explanation
$$ \begin{aligned} 35x^3+14x^2+2x+9 &= 4&& \text{move all terms to the left hand side } \\[1 em]35x^3+14x^2+2x+9-4 &= 0&& \text{simplify left side} \\[1 em]35x^3+14x^2+2x+5 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
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Polynomial Equations Solver