Question 171867


{{{c^2-6c=0}}} Start with the given equation



{{{c(c-6)=0}}} Factor out the GCF "c"



Now set each factor equal to zero:


{{{c=0}}} or  {{{c-6=0}}} 



{{{c=0}}} or  {{{c=6}}}    Now solve for c in each case



So the answers are 


 {{{c=0}}} or  {{{c=6}}} 



Notice if we graph {{{y=x^2-6x}}}  (just replace c with x)  we can see that the roots are {{{x=0}}} and  {{{x=6}}} . So this visually verifies our answer.



{{{ graph(500,500,-10,10,-10,10,0, x^2-6x) }}}