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D( x )
4*x-5 = 0
4*x-5 = 0
4*x-5 = 0
4*x-5 = 0 // + 5
4*x = 5 // : 4
x = 5/4
x in (-oo:5/4) U (5/4:+oo)
x-((3/(4*x-5))*(x+1)) = 0
x-3*(x+1)*(4*x-5)^-1 = 0
(-3*(x+1))/(4*x-5)+x = 0
(-3*(x+1))/(4*x-5)+(x*(4*x-5))/(4*x-5) = 0
x*(4*x-5)-3*(x+1) = 0
4*x^2-8*x-3 = 0
4*x^2-8*x-3 = 0
4*x^2-8*x-3 = 0
DELTA = (-8)^2-(-3*4*4)
DELTA = 112
DELTA > 0
x = (112^(1/2)+8)/(2*4) or x = (8-112^(1/2))/(2*4)
x = (4*7^(1/2)+8)/8 or x = (8-4*7^(1/2))/8
(x-((8-4*7^(1/2))/8))*(x-((4*7^(1/2)+8)/8)) = 0
((x-((8-4*7^(1/2))/8))*(x-((4*7^(1/2)+8)/8)))/(4*x-5) = 0
((x-((8-4*7^(1/2))/8))*(x-((4*7^(1/2)+8)/8)))/(4*x-5) = 0 // * 4*x-5
(x-((8-4*7^(1/2))/8))*(x-((4*7^(1/2)+8)/8)) = 0
( x-((4*7^(1/2)+8)/8) )
x-((4*7^(1/2)+8)/8) = 0 // + (4*7^(1/2)+8)/8
x = (4*7^(1/2)+8)/8
( x-((8-4*7^(1/2))/8) )
x-((8-4*7^(1/2))/8) = 0 // + (8-4*7^(1/2))/8
x = (8-4*7^(1/2))/8
x in { (4*7^(1/2)+8)/8, (8-4*7^(1/2))/8 }
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