Question 251584

{{{x^2-3x=0}}} Start with the given equation


{{{x(x-3)=0}}} Factor the left side 



Now set each factor equal to zero:

{{{x=0}}} or  {{{x-3=0}}} 


{{{x=0}}} or  {{{x=3}}}    Now solve for x in each case



So our answers are 


 {{{x=0}}} or  {{{x=3}}} 



Notice if we graph {{{y=x^2-3x}}}  we can see that the roots are {{{x=0}}} and  {{{x=3}}} . So this visually verifies our answer.



{{{ graph(500,500,-10,10,-10,10,0, x^2-3x) }}}