Question 601563
{{{ 5x*y^2-9x*y+4x }}}
Factor out {{{x}}}
{{{ x*( 5y^2 - 9y + 4 ) }}}
Use the quadratic formula
{{{y = (-b +- sqrt( b^2 - 4*a*c )) / (2*a) }}} 
{{{ a = 5 }}}
{{{ b = -9 }}}
{{{ c = 4 }}}
{{{y = (-(-9) +- sqrt( (-9)^2 - 4*5*4 )) / (2*5) }}} 
{{{y = ( 9 +- sqrt( 81 - 80 )) / 10 }}} 
{{{y = ( 9 + 1) / 10 }}} 
{{{ y = 1 }}}
{{{ y - 1 = 0 }}}
and
{{{ y = ( 9 - 1 )/10 }}}
{{{ y = 4/5 }}}
{{{ y - 4/5 = 0 }}}
{{{ 5y - 4 = 0 }}}
The factors are:
{{{ x*( y-1 )*( 5y - 4 ) }}}