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D( x )
8*x^2+2*x-2 = 0
15*x^2+25*x = 0
8*x^2+2*x-2 = 0
8*x^2+2*x-2 = 0
8*x^2+2*x-2 = 0
DELTA = 2^2-(-2*4*8)
DELTA = 68
DELTA > 0
x = (68^(1/2)-2)/(2*8) or x = (-68^(1/2)-2)/(2*8)
x = (2*17^(1/2)-2)/16 or x = (-2*17^(1/2)-2)/16
15*x^2+25*x = 0
15*x^2+25*x = 0
15*x^2+25*x = 0
DELTA = 25^2-(0*4*15)
DELTA = 625
DELTA > 0
x = (625^(1/2)-25)/(2*15) or x = (-625^(1/2)-25)/(2*15)
x = 0 or x = -5/3
x in (-oo:-5/3) U (-5/3:(-2*17^(1/2)-2)/16) U ((-2*17^(1/2)-2)/16:0) U (0:(2*17^(1/2)-2)/16) U ((2*17^(1/2)-2)/16:+oo)
(((16*x^2-9)/(15*x^2+25*x))*(30*x^3-(15*x^2)))/(8*x^2+2*x-2) = 0
(((16*x^2-9)/(15*x^2+25*x))*(30*x^3-15*x^2))/(8*x^2+2*x-2) = 0
((16*x^2-9)*(30*x^3-15*x^2))/((15*x^2+25*x)*(8*x^2+2*x-2)) = 0
15*x^2+25*x = 0
5*x*(3*x+5) = 0
3*x+5 = 0 // - 5
3*x = -5 // : 3
x = -5/3
5*x*(x+5/3) = 0
30*x^3-15*x^2 = 0
15*x^2*(2*x-1) = 0
2*x-1 = 0 // + 1
2*x = 1 // : 2
x = 1/2
15*x^2*(x-1/2) = 0
8*x^2+2*x-2 = 0
2*(4*x^2+x-1) = 0
4*x^2+x-1 = 0
DELTA = 1^2-(-1*4*4)
DELTA = 17
DELTA > 0
x = (17^(1/2)-1)/(2*4) or x = (-17^(1/2)-1)/(2*4)
x = (17^(1/2)-1)/8 or x = (-(17^(1/2)+1))/8
2*(x+(17^(1/2)+1)/8)*(x-((17^(1/2)-1)/8)) = 0
(15*x^2*(16*x^2-9)*(x-1/2))/(2*5*x*(x+5/3)*(x+(17^(1/2)+1)/8)*(x-((17^(1/2)-1)/8))) = 0
( 15*x^2 )
15*x^2 = 0 // : 15
x^2 = 0
x = 0
( 16*x^2-9 )
16*x^2 = 9 // : 16
x^2 = 9/16
x^2 = 9/16 // ^ 1/2
abs(x) = 3/4
x = 3/4 or x = -3/4
( x-1/2 )
x-1/2 = 0 // + 1/2
x = 1/2
x in { 0}
x in { 3/4, -3/4, 1/2 }
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