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D( t )
4*t+12 = 0
4*t+12 = 0
4*t+12 = 0
4*t+12 = 0 // - 12
4*t = -12 // : 4
t = -12/4
t = -3
t in (-oo:-3) U (-3:+oo)
(5*t^2+19*t+7)/(4*t+12) = 0
5*t^2+19*t+7 = 0
5*t^2+19*t+7 = 0
DELTA = 19^2-(4*5*7)
DELTA = 221
DELTA > 0
t = (221^(1/2)-19)/(2*5) or t = (-221^(1/2)-19)/(2*5)
t = (221^(1/2)-19)/10 or t = (-(221^(1/2)+19))/10
(t+(221^(1/2)+19)/10)*(t-((221^(1/2)-19)/10)) = 0
((t+(221^(1/2)+19)/10)*(t-((221^(1/2)-19)/10)))/(4*t+12) = 0
( t+(221^(1/2)+19)/10 )
t+(221^(1/2)+19)/10 = 0 // - (221^(1/2)+19)/10
t = -((221^(1/2)+19)/10)
( t-((221^(1/2)-19)/10) )
t-((221^(1/2)-19)/10) = 0 // + (221^(1/2)-19)/10
t = (221^(1/2)-19)/10
t in { -((221^(1/2)+19)/10), (221^(1/2)-19)/10 }
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