Question 482462
{{{z^3-6z^2+z-6=0}}}...group


{{{(z^3-6z^2)+(z-6)=0}}}...factor out {{{z^2}}}


{{{z^2(z-6)+1(z-6)=0}}}..factor out {{{z-6}}}


{{{(z^2+1)(z-6)=0}}}


solutions:

{{{z^2+1=0}}}

{{{z^2=-1}}}

{{{z=sqrt(-1)}}}

{{{highlight(z=i)}}} or {{{highlight(z=-i)}}} two complex solutions


{{{z-6=0}}}

{{{highlight(z=6)}}} one real solution