Question 1205914

{{{3x^3y^2-45x^2y=15x^3y-9x^2y^2}}}.....factor

{{{3 x^2 *y (x y - 15) = 3 x^2* y (5 x - 3 y)}}}

{{{3 x^2 *y (x y - 15) - 3 x^2 *y (5 x - 3 y)=0}}}

{{{3 x^2 *y ((x y - 15) -  (5 x - 3 y))=0}}}

{{{3 x^2 *y (x y - 15 -  5 x +3 y)=0}}}

{{{3 x^2 *y ((x y+3 y) - (5x + 15) )=0}}}

{{{3 x^2 *y (y(x +3 ) - 5(x + 3) )=0}}}

{{{3 x^2 *y (y - 5)(x + 3) =0}}}




solutions:

if {{{3 x^2 *y  =0 }}}=> {{{x=0}}} (periodicity {{{2}}}), {{{y=0}}}
if{{{ (y - 5) =0}}}=> {{{y=5}}}
if{{{ (x + 3) =0}}}=> {{{x=-3}}}


answer:

{{{x=0}}} 
{{{x=-3}}}
{{{y=0}}}
{{{y=5}}}