Question
$$x(x+1)x\cdot2 = 1320$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} x(x+1)x\cdot2 &= 1320&& \text{simplify left side} \\[1 em](x^2+x)x\cdot2 &= 1320&& \\[1 em]2x^3+2x^2 &= 1320&& \text{move all terms to the left hand side } \\[1 em]2x^3+2x^2-1320 &= 0&& \\[1 em] \end{aligned} $$
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