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D( x )
2*x+1 = 0
2*x+1 = 0
2*x+1 = 0
2*x+1 = 0 // - 1
2*x = -1 // : 2
x = -1/2
x in (-oo:-1/2) U (-1/2:+oo)
(4*x-5)/(2*x+1) = (2*x-1)*(x+5) // - (2*x-1)*(x+5)
(4*x-5)/(2*x+1)-((2*x-1)*(x+5)) = 0
(4*x-5)/(2*x+1)-1*(2*x-1)*(x+5) = 0
(4*x-5)/(2*x+1)+(-1*(2*x-1)*(x+5)*(2*x+1))/(2*x+1) = 0
4*x-1*(2*x-1)*(x+5)*(2*x+1)-5 = 0
5*x-4*x^3-20*x^2 = 0
5*x-4*x^3-20*x^2 = 0
x*(5-4*x^2-20*x) = 0
5-4*x^2-20*x = 0
DELTA = (-20)^2-(-4*4*5)
DELTA = 480
DELTA > 0
x = (480^(1/2)+20)/(-4*2) or x = (20-480^(1/2))/(-4*2)
x = (4*30^(1/2)+20)/(-8) or x = (20-4*30^(1/2))/(-8)
x*(x-((4*30^(1/2)+20)/(-8)))*(x-((20-4*30^(1/2))/(-8))) = 0
(x*(x-((4*30^(1/2)+20)/(-8)))*(x-((20-4*30^(1/2))/(-8))))/(2*x+1) = 0
(x*(x-((4*30^(1/2)+20)/(-8)))*(x-((20-4*30^(1/2))/(-8))))/(2*x+1) = 0 // * 2*x+1
x*(x-((4*30^(1/2)+20)/(-8)))*(x-((20-4*30^(1/2))/(-8))) = 0
( x-((20-4*30^(1/2))/(-8)) )
x-((20-4*30^(1/2))/(-8)) = 0 // + (20-4*30^(1/2))/(-8)
x = (20-4*30^(1/2))/(-8)
( x-((4*30^(1/2)+20)/(-8)) )
x-((4*30^(1/2)+20)/(-8)) = 0 // + (4*30^(1/2)+20)/(-8)
x = (4*30^(1/2)+20)/(-8)
( x )
x = 0
x in { (20-4*30^(1/2))/(-8), (4*30^(1/2)+20)/(-8), 0 }
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