Question 1128681


Solve:

{{{ a^3+6a^2+11a+6=0}}} ............factor


 {{{a^3 + 5a^2+a^2 + 5a+6a+6 = 0}}}.........group

{{{ (a^3+a^2) + (5a^2 + 5a)+(6a+6) = 0}}}

{{{a^2(a+1) +5a (a + 1)+6(a+1) = 0}}}

{{{(a + 1)  (a^2 + 5a+6) = 0}}}

{{{(a + 1)  (a^2 + 3a+2a+6) = 0}}}

{{{(a + 1)  ((a^2 + 3a)+(2a+6)) = 0}}}

{{{(a + 1)  (a(a + 3)+2(a+3)) = 0}}}

{{{(a + 1) (a + 2) (a + 3) = 0}}}

solutions:
{{{(a + 1) = 0}}} -> {{{a=-1}}}
{{{(a + 2)  = 0}}}-> {{{a=-2}}}
 {{{(a + 3) = 0}}}-> {{{a=-3}}}