Exact set of values of $a$ for which ${x^3}(x + 1) = 2(x + a)(x + 2a)$ is having four real solutions is

  • A

    $[-1,2]$

  • B

    $[-3,7]$

  • C

    $[-2,4]$

  • D

    $\left[ { - \frac{1}{8},\frac{1}{2}} \right]$

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