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D( x )
5*x-15 = 0
5*x-15 = 0
5*x-15 = 0
5*x-15 = 0 // + 15
5*x = 15 // : 5
x = 15/5
x = 3
x in (-oo:3) U (3:+oo)
(2/(5*x-15))*(10*x^2-(25*x)-15)+x = 0
(2/(5*x-15))*(10*x^2-25*x-15)+x = 0
(2*(10*x^2-25*x-15))/(5*x-15)+x = 0
(2*(10*x^2-25*x-15))/(5*x-15)+(x*(5*x-15))/(5*x-15) = 0
2*(10*x^2-25*x-15)+x*(5*x-15) = 0
25*x^2-65*x-30 = 0
25*x^2-65*x-30 = 0
5*(5*x^2-13*x-6) = 0
5*x^2-13*x-6 = 0
DELTA = (-13)^2-(-6*4*5)
DELTA = 289
DELTA > 0
x = (289^(1/2)+13)/(2*5) or x = (13-289^(1/2))/(2*5)
x = 3 or x = -2/5
5*(x+2/5)*(x-3) = 0
(5*(x+2/5)*(x-3))/(5*x-15) = 0
(5*(x+2/5)*(x-3))/(5*x-15) = 0 // * 5*x-15
5*(x+2/5)*(x-3) = 0
( x+2/5 )
x+2/5 = 0 // - 2/5
x = -2/5
( x-3 )
x-3 = 0 // + 3
x = 3
x in { 3}
x = -2/5
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