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D( x )
x+1 = 0
x+1 = 0
x+1 = 0
x+1 = 0 // - 1
x = -1
x in (-oo:-1) U (-1:+oo)
8-x = (5*x)/(x+1) // - (5*x)/(x+1)
8-((5*x)/(x+1))-x = 0
8-5*x*(x+1)^-1-x = 0
(-5*x)/(x+1)-x+8 = 0
(-5*x)/(x+1)+(-x*(x+1))/(x+1)+(8*(x+1))/(x+1) = 0
8*(x+1)-x*(x+1)-5*x = 0
8*x-x^2-6*x+8 = 0
2*x-x^2+8 = 0
2*x-x^2+8 = 0
2*x-x^2+8 = 0
DELTA = 2^2-(-1*4*8)
DELTA = 36
DELTA > 0
x = (36^(1/2)-2)/(-1*2) or x = (-36^(1/2)-2)/(-1*2)
x = -2 or x = 4
(x+2)*(x-4) = 0
((x+2)*(x-4))/(x+1) = 0
((x+2)*(x-4))/(x+1) = 0 // * x+1
(x+2)*(x-4) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x-4 )
x-4 = 0 // + 4
x = 4
x in { -2, 4 }
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