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D( x )
x+4 = 0
x+4 = 0
x+4 = 0
x+4 = 0 // - 4
x = -4
x in (-oo:-4) U (-4:+oo)
x = 96/(x+4) // - 96/(x+4)
x-(96/(x+4)) = 0
x-96*(x+4)^-1 = 0
x-96/(x+4) = 0
(x*(x+4))/(x+4)-96/(x+4) = 0
x*(x+4)-96 = 0
x^2+4*x-96 = 0
x^2+4*x-96 = 0
x^2+4*x-96 = 0
DELTA = 4^2-(-96*1*4)
DELTA = 400
DELTA > 0
x = (400^(1/2)-4)/(1*2) or x = (-400^(1/2)-4)/(1*2)
x = 8 or x = -12
(x+12)*(x-8) = 0
((x+12)*(x-8))/(x+4) = 0
((x+12)*(x-8))/(x+4) = 0 // * x+4
(x+12)*(x-8) = 0
( x+12 )
x+12 = 0 // - 12
x = -12
( x-8 )
x-8 = 0 // + 8
x = 8
x in { -12, 8 }
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