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z in (-oo:+oo)
(z^2)/6-((7*z)/2)-12 = 0
(z^2)/6+(-7/2)*z-12 = 0
1/6*z^2-7/2*z-12 = 0
DELTA = (-7/2)^2-(-12*1/6*4)
DELTA = 81/4
DELTA > 0
z = ((81/4)^(1/2)+7/2)/(1/6*2) or z = (7/2-(81/4)^(1/2))/(1/6*2)
z = 24 or z = -3
z in { -3, 24 }
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