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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
((3*x+1)*(x-1))/x+((3*(2*x+6)*(x-1))/2)/x = 0
((3*x+1)*(x-1))/x+(3*(2*x+6)*(x-1))/(2*x) = 0
(2*(3*x+1)*(x-1))/(2*x)+(3*(2*x+6)*(x-1))/(2*x) = 0
2*(3*x+1)*(x-1)+3*(2*x+6)*(x-1) = 0
12*x^2+8*x-20 = 0
12*x^2+8*x-20 = 0
4*(3*x^2+2*x-5) = 0
3*x^2+2*x-5 = 0
DELTA = 2^2-(-5*3*4)
DELTA = 64
DELTA > 0
x = (64^(1/2)-2)/(2*3) or x = (-64^(1/2)-2)/(2*3)
x = 1 or x = -5/3
4*(x+5/3)*(x-1) = 0
(4*(x+5/3)*(x-1))/(2*x) = 0
(4*(x+5/3)*(x-1))/(2*x) = 0 // * 2*x
4*(x+5/3)*(x-1) = 0
( x+5/3 )
x+5/3 = 0 // - 5/3
x = -5/3
( x-1 )
x-1 = 0 // + 1
x = 1
x in { -5/3, 1 }
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