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D( x )
x-7 = 0
x-3 = 0
x-7 = 0
x-7 = 0
x-7 = 0 // + 7
x = 7
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
x in (-oo:3) U (3:7) U (7:+oo)
(5*x+3)/(x-3) = (-6*x)/(x-7) // - (-6*x)/(x-7)
(5*x+3)/(x-3)-((-6*x)/(x-7)) = 0
(5*x+3)/(x-3)+6*x*(x-7)^-1 = 0
(5*x+3)/(x-3)+(6*x)/(x-7) = 0
((5*x+3)*(x-7))/((x-3)*(x-7))+(6*x*(x-3))/((x-3)*(x-7)) = 0
(5*x+3)*(x-7)+6*x*(x-3) = 0
11*x^2-50*x-21 = 0
11*x^2-50*x-21 = 0
11*x^2-50*x-21 = 0
DELTA = (-50)^2-(-21*4*11)
DELTA = 3424
DELTA > 0
x = (3424^(1/2)+50)/(2*11) or x = (50-3424^(1/2))/(2*11)
x = (4*214^(1/2)+50)/22 or x = (50-4*214^(1/2))/22
(x-((50-4*214^(1/2))/22))*(x-((4*214^(1/2)+50)/22)) = 0
((x-((50-4*214^(1/2))/22))*(x-((4*214^(1/2)+50)/22)))/((x-3)*(x-7)) = 0
((x-((50-4*214^(1/2))/22))*(x-((4*214^(1/2)+50)/22)))/((x-3)*(x-7)) = 0 // * (x-3)*(x-7)
(x-((50-4*214^(1/2))/22))*(x-((4*214^(1/2)+50)/22)) = 0
( x-((4*214^(1/2)+50)/22) )
x-((4*214^(1/2)+50)/22) = 0 // + (4*214^(1/2)+50)/22
x = (4*214^(1/2)+50)/22
( x-((50-4*214^(1/2))/22) )
x-((50-4*214^(1/2))/22) = 0 // + (50-4*214^(1/2))/22
x = (50-4*214^(1/2))/22
x in { (4*214^(1/2)+50)/22, (50-4*214^(1/2))/22 }
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