A WolframAlpha error?

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Consider the equation: $$ \dfrac{1}{\sqrt[3]{(x+3)^2}}-\dfrac{1}{\sqrt[3]{x^2}}=0 $$ that has the solution $x=\dfrac{-3}{2}$ as can be easely verified.

But WolframAlpha gives no solutions (here). Someone knows why? Or I have some stupid error?