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D( x )
2*x+3 = 0
2*x+3 = 0
2*x+3 = 0
2*x+3 = 0 // - 3
2*x = -3 // : 2
x = -3/2
x in (-oo:-3/2) U (-3/2:+oo)
(2*x^2-(15*x)-15)/(2*x+3) = 0
(2*x^2-15*x-15)/(2*x+3) = 0
2*x^2-15*x-15 = 0
2*x^2-15*x-15 = 0
DELTA = (-15)^2-(-15*2*4)
DELTA = 345
DELTA > 0
x = (345^(1/2)+15)/(2*2) or x = (15-345^(1/2))/(2*2)
x = (345^(1/2)+15)/4 or x = (15-345^(1/2))/4
(x-((15-345^(1/2))/4))*(x-((345^(1/2)+15)/4)) = 0
((x-((15-345^(1/2))/4))*(x-((345^(1/2)+15)/4)))/(2*x+3) = 0
( x-((15-345^(1/2))/4) )
x-((15-345^(1/2))/4) = 0 // + (15-345^(1/2))/4
x = (15-345^(1/2))/4
( x-((345^(1/2)+15)/4) )
x-((345^(1/2)+15)/4) = 0 // + (345^(1/2)+15)/4
x = (345^(1/2)+15)/4
x in { (15-345^(1/2))/4, (345^(1/2)+15)/4 }
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