CAS: solve solutions

[compsystems]

hp-prime
solve(((x+5)*e^x) = ((x+5)*e^(2*x))) [ENTER] returns ->
{0} // one answer
why the CAS returns only one answer?

Expanded form
expand( (x+5)*e^x) = (x+5)*e^(2*x) ) [ENTER] returns -> x*e^x+5*e^x = x*e^(2*x)+5*e^(2*x)

mathematica returns 3 answers
https://www.wolframalpha.com/input/?i=(x...*e%5E(2*x) [ENTER] returns ->
x = -5 // real solution
x = 0 // real solution
x = 2*π*i*n where n ∈ Z // a symbolic answer =]