Question 607144
{{{ 2x^2-5x-12=0 }}}
You can use quadratic formula
{{{ x = (-b +- sqrt( b^2 - 4*a*c )) / (2*a) }}}
{{{ a = 2 }}}
{{{ b = -5 }}}
{{{ c = -12 }}}
{{{ x = (-(-5) +- sqrt( (-5)^2 - 4*2*(-12) )) / (2*2) }}}
{{{ x = ( 5 +- sqrt( 25 + 96 )) / 4 }}}
{{{ x = ( 5 +- sqrt( 121 )) / 4 }}}
{{{ x = ( 5 + 11) / 4 }}}
{{{ x = 16/4 }}}
{{{ x = 4 }}}
(1) {{{ x - 4 = 0 }}}
and also,
{{{ x = ( 5 - 11) / 4 }}}
{{{ x = -6/4 }}}
{{{ x = -3/2 }}}
{{{ x + 3/2 = 0 }}}
(2) {{{ 2x + 3 = 0 }}}
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Multiplying (1) and (2),
{{{ ( x - 4 )*( 2x + 3 ) = 0 }}}