Question 780690
Set equal to zero
{{{ 48x^2 + 60x - 36 = 0 }}}
Divide both sides by {{{ 12 }}}
{{{ 4x^2 + 5x - 3 = 0 }}}
Use the quadratic equation
{{{ x = (-b +- sqrt( b^2 - 4*a*c )) / (2*a) }}}
{{{ a = 4 }}}
{{{ b = 5 }}}
{{{ c = -3 }}}
{{{ x = ( -5 +- sqrt( 5^2 - 4*4*(-3) )) / (2*4) }}}
{{{ x = ( -5 +- sqrt( 25 + 48 )) / 8 }}}
{{{ x = ( -5 + sqrt( 73 )) / 8 }}}
and, also
{{{ x = ( -5 - sqrt( 73 ) ) / 8 }}}
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The factors are:
{{{ ( x - ( -5 + sqrt(73) ) / 8 ) * ( x - (-5 - sqrt(73) ) /8 ) }}}
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You can check by multiplying it out