$$(5x^2-2x+3)(2x^2-4x+6) = 0$$
Answer
$$ \begin{matrix}x_1 = 0.2+0.74833i & x_2 = 0.2-0.74833i & x_3 = 1+1.41421i \\[1 em] x_4 = 1-1.41421i & \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (5x^2-2x+3)(2x^2-4x+6) &= 0&& \text{simplify left side} \\[1 em]10x^4-24x^3+44x^2-24x+18 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
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