Why WolframAlpha is returning only 2 Roots for a Polynomial Equation of 6 Degree ??

Question

I think this is really weird.

I want to solve the following equation:

$$(2x^2+3x+5)^3+(2x^2+3x+5)^2=0$$

This is a polynomial equation of 6 degrees. It should have 6 roots.

But wolframalpha only returns 4 roots! Anything I miss?

This is the command I use:

solve ((2x^2+3x+5)^3)+((2x^2+3x+5)^2)=0

Edit: Ah, Wolframalpha doesn't return repeated roots. So now case solved.

Answer 1

Trying

Solve[(2x^2 + 3x + 5)^3 + (2x^2 + 3x + 5)^2 == 0, x]

on WolframAlpha returns four roots; the truth of the matter is that the equation has two roots of multiplicity two, so that you have six roots in total.

I'm not entirely sure why the multiplicities aren't indicated...