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