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D( x )
x+4 = 0
x = 0
x+4 = 0
x+4 = 0
x+4 = 0 // - 4
x = -4
x = 0
x = 0
x in (-oo:-4) U (-4:0) U (0:+oo)
((2*x)/(x+4))*(x-1)+2/x-1 = (2/(x+4))*(x-1)+2/x+4 // - (2/(x+4))*(x-1)+2/x+4
((2*x)/(x+4))*(x-1)-((2/(x+4))*(x-1))+2/x-(2/x)-4-1 = 0
((2*x)/(x+4))*(x-1)-2*(x-1)*(x+4)^-1+2/x-2*x^-1-4-1 = 0
(2*x*(x-1))/(x+4)+(-2*(x-1))/(x+4)+2/x-2/x-4-1 = 0
(2*x*x*(x-1))/(x*(x+4))+(-2*x*(x-1))/(x*(x+4))+(2*(x+4))/(x*(x+4))+(-2*(x+4))/(x*(x+4))+(-4*x*(x+4))/(x*(x+4))+(-1*x*(x+4))/(x*(x+4)) = 0
2*x*x*(x-1)-2*x*(x-1)+2*(x+4)-2*(x+4)-4*x*(x+4)-1*x*(x+4) = 0
2*x^3-4*x^2-4*x^2-x^2+2*x+2*x-2*x-16*x-4*x-8+8 = 0
2*x^3-4*x^2-4*x^2-x^2+4*x-2*x-16*x-4*x-8+8 = 0
2*x^3-4*x^2-4*x^2-x^2+2*x-16*x-4*x = 0
2*x^3-8*x^2-x^2-14*x-4*x = 0
2*x^3-9*x^2-18*x = 0
2*x^3-9*x^2-18*x = 0
x*(2*x^2-9*x-18) = 0
2*x^2-9*x-18 = 0
DELTA = (-9)^2-(-18*2*4)
DELTA = 225
DELTA > 0
x = (225^(1/2)+9)/(2*2) or x = (9-225^(1/2))/(2*2)
x = 6 or x = -3/2
x*(x+3/2)*(x-6) = 0
(x*(x+3/2)*(x-6))/(x*(x+4)) = 0
(x*(x+3/2)*(x-6))/(x*(x+4)) = 0 // * x*(x+4)
x*(x+3/2)*(x-6) = 0
( x+3/2 )
x+3/2 = 0 // - 3/2
x = -3/2
( x-6 )
x-6 = 0 // + 6
x = 6
( x )
x = 0
x in { 0}
x in { -3/2, 6 }
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