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Solve results

I recently came upon this and was wondering if it's a Solve bug, some
notation I'm not familiar with, or just an unfortunate happenstance.

When I give Mathematica the equation x^3-8==0, this is what it returns:


But if I first factor the polynomial instead:


if I use reduce instead of solve


My question is: why the different behaviors, and how can I tell in advance
which to use?

|                            |   I understand mine's a risky plan,
|   Greg Anderson            |   and your system can't miss
|   dwarf at        |   but is security, after all a cause
|   timbwolf at     |   or symptom of happiness.
|                            |   
+----------------------------+   Dream Theater -- A Matter of Time

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