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D( x )
14-(2*x) = 0
x^2-(7*x) = 0
14-(2*x) = 0
14-(2*x) = 0
14-2*x = 0
14-2*x = 0 // - 14
-2*x = -14 // : -2
x = -14/(-2)
x = 7
x^2-(7*x) = 0
x^2-(7*x) = 0
x^2-7*x = 0
x^2-7*x = 0
DELTA = (-7)^2-(0*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+7)/(1*2) or x = (7-49^(1/2))/(1*2)
x = 7 or x = 0
x in (-oo:0) U (0:7) U (7:+oo)
-((3*x)/(x^2-(7*x)))-8 = (4*x)/(14-(2*x)) // - (4*x)/(14-(2*x))
-((3*x)/(x^2-(7*x)))-((4*x)/(14-(2*x)))-8 = 0
-3*x*(x^2-7*x)^-1-4*x*(14-2*x)^-1-8 = 0
(-3*x)/(x^2-7*x)+(-4*x)/(14-2*x)-8 = 0
x^2-7*x = 0
x^2-7*x = 0
x*(x-7) = 0
x-7 = 0 // + 7
x = 7
x*(x-7) = 0
(-3*x)/(x*(x-7))+(-4*x)/(14-2*x)-8 = 0
(-3*x*(14-2*x))/(x*(x-7)*(14-2*x))+(-4*x*x*(x-7))/(x*(x-7)*(14-2*x))+(-8*x*(x-7)*(14-2*x))/(x*(x-7)*(14-2*x)) = 0
-3*x*(14-2*x)-4*x*x*(x-7)-8*x*(x-7)*(14-2*x) = 0
16*x^3-4*x^3+34*x^2-224*x^2-42*x+784*x = 0
12*x^3-190*x^2+742*x = 0
12*x^3-190*x^2+742*x = 0
2*x*(6*x^2-95*x+371) = 0
6*x^2-95*x+371 = 0
DELTA = (-95)^2-(4*6*371)
DELTA = 121
DELTA > 0
x = (121^(1/2)+95)/(2*6) or x = (95-121^(1/2))/(2*6)
x = 53/6 or x = 7
2*x*(x-7)*(x-53/6) = 0
(2*x*(x-7)*(x-53/6))/(x*(x-7)*(14-2*x)) = 0
(2*x*(x-7)*(x-53/6))/(x*(x-7)*(14-2*x)) = 0 // * x*(x-7)*(14-2*x)
2*x*(x-7)*(x-53/6) = 0
( 2*x )
2*x = 0 // : 2
x = 0
( x-53/6 )
x-53/6 = 0 // + 53/6
x = 53/6
( x-7 )
x-7 = 0 // + 7
x = 7
x in { 0}
x in { 7}
x = 53/6
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