Question 119845
{{{a^5+6a^4+5a^3=0}}} Start with the given equation



{{{a^3(a^2+6a+5)=0}}} Factor out the GCF {{{a^3}}}



{{{a^3(a+5)(a+1)=0}}}





Now set each factor equal to zero:


{{{a^3=0}}}, {{{a+5=0}}} or {{{a+1=0}}}


Now solve for a for each factor:


{{{a=0}}}, {{{a=-5}}} or {{{a=-1}}}


So the solutions are:



{{{a=0}}}, {{{a=-5}}} or {{{a=-1}}}