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D( x )
25*x^2-4 = 0
5*x+2 = 0
25*x^2-4 = 0
25*x^2-4 = 0
25*x^2 = 4 // : 25
x^2 = 4/25
x^2 = 4/25 // ^ 1/2
abs(x) = 2/5
x = 2/5 or x = -2/5
5*x+2 = 0
5*x+2 = 0
5*x+2 = 0 // - 2
5*x = -2 // : 5
x = -2/5
x in (-oo:-2/5) U (-2/5:2/5) U (2/5:+oo)
3/(5*x+2)-((5*x)/(25*x^2-4)) = 0
3/(5*x+2)-5*x*(25*x^2-4)^-1 = 0
3/(5*x+2)+(-5*x)/(25*x^2-4) = 0
(3*(25*x^2-4))/((5*x+2)*(25*x^2-4))+(-5*x*(5*x+2))/((5*x+2)*(25*x^2-4)) = 0
3*(25*x^2-4)-5*x*(5*x+2) = 0
50*x^2-10*x-12 = 0
50*x^2-10*x-12 = 0
2*(25*x^2-5*x-6) = 0
25*x^2-5*x-6 = 0
DELTA = (-5)^2-(-6*4*25)
DELTA = 625
DELTA > 0
x = (625^(1/2)+5)/(2*25) or x = (5-625^(1/2))/(2*25)
x = 3/5 or x = -2/5
2*(x+2/5)*(x-3/5) = 0
(2*(x+2/5)*(x-3/5))/((5*x+2)*(25*x^2-4)) = 0
(2*(x+2/5)*(x-3/5))/((5*x+2)*(25*x^2-4)) = 0 // * (5*x+2)*(25*x^2-4)
2*(x+2/5)*(x-3/5) = 0
( x+2/5 )
x+2/5 = 0 // - 2/5
x = -2/5
( x-3/5 )
x-3/5 = 0 // + 3/5
x = 3/5
x in { -2/5}
x = 3/5
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