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D( x )
3*x+3 = 0
x+1 = 0
3*x+3 = 0
3*x+3 = 0
3*x+3 = 0 // - 3
3*x = -3 // : 3
x = -3/3
x = -1
x+1 = 0
x+1 = 0
x+1 = 0 // - 1
x = -1
x in (-oo:-1) U (-1:+oo)
8/(3*x+3) = 8/(x+1)-(2/3) // - 8/(x+1)-(2/3)
8/(3*x+3)-(8/(x+1))+2/3 = 0
8/(3*x+3)-8*(x+1)^-1+2/3 = 0
8/(3*x+3)-8/(x+1)+2/3 = 0
(3*8*(x+1))/(3*(3*x+3)*(x+1))+(-8*3*(3*x+3))/(3*(3*x+3)*(x+1))+(2*(3*x+3)*(x+1))/(3*(3*x+3)*(x+1)) = 0
3*8*(x+1)-8*3*(3*x+3)+2*(3*x+3)*(x+1) = 0
6*x^2-48*x+12*x-48+6 = 0
6*x^2-36*x-42 = 0
6*x^2-36*x-42 = 0
6*(x^2-6*x-7) = 0
x^2-6*x-7 = 0
DELTA = (-6)^2-(-7*1*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)+6)/(1*2) or x = (6-64^(1/2))/(1*2)
x = 7 or x = -1
6*(x+1)*(x-7) = 0
(6*(x+1)*(x-7))/(3*(3*x+3)*(x+1)) = 0
(6*(x+1)*(x-7))/(3*(3*x+3)*(x+1)) = 0 // * 3*(3*x+3)*(x+1)
6*(x+1)*(x-7) = 0
( x+1 )
x+1 = 0 // - 1
x = -1
( x-7 )
x-7 = 0 // + 7
x = 7
x in { -1}
x = 7
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