Question 111375

{{{y^2-5y=0}}}


{{{y(y-5)=0}}} Factor the left side (note: if you need help with factoring, check out this <a href=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>solver</a>)




Now set each factor equal to zero:


{{{y=0}}} or {{{y-5=0}}}


{{{y=0}}} or {{{y=5}}}  Now solve for x in each case



So our solutions are {{{y=0}}} or {{{y=5}}}



Notice if we graph {{{y=y^2-5y}}} we get


{{{ graph(500,500,-10,10,-10,10, x^2-5x) }}}


and we can see that the graph has roots at {{{x=0}}} and {{{x=5}}}, so this verifies our answer.