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D( x )
2*x-5 = 0
2*x+5 = 0
4*x^2-25 = 0
2*x-5 = 0
2*x-5 = 0
2*x-5 = 0 // + 5
2*x = 5 // : 2
x = 5/2
2*x+5 = 0
2*x+5 = 0
2*x+5 = 0 // - 5
2*x = -5 // : 2
x = -5/2
4*x^2-25 = 0
4*x^2-25 = 0
4*x^2 = 25 // : 4
x^2 = 25/4
x^2 = 25/4 // ^ 1/2
abs(x) = 5/2
x = 5/2 or x = -5/2
x in (-oo:-5/2) U (-5/2:5/2) U (5/2:+oo)
2/(2*x+5)+3/(2*x-5) = (10*x+5)/(4*x^2-25) // - (10*x+5)/(4*x^2-25)
2/(2*x+5)+3/(2*x-5)-((10*x+5)/(4*x^2-25)) = 0
2/(2*x+5)+3/(2*x-5)+(-1*(10*x+5))/(4*x^2-25) = 0
(2*(2*x-5)*(4*x^2-25))/((2*x+5)*(2*x-5)*(4*x^2-25))+(3*(2*x+5)*(4*x^2-25))/((2*x+5)*(2*x-5)*(4*x^2-25))+(-1*(10*x+5)*(2*x+5)*(2*x-5))/((2*x+5)*(2*x-5)*(4*x^2-25)) = 0
2*(2*x-5)*(4*x^2-25)+3*(2*x+5)*(4*x^2-25)-1*(10*x+5)*(2*x+5)*(2*x-5) = 0
40*x^3-40*x^3+20*x^2-20*x^2-250*x+250*x-125+125 = 0
0 = 0
0/((2*x+5)*(2*x-5)*(4*x^2-25)) = 0
0/((2*x+5)*(2*x-5)*(4*x^2-25)) = 0 // * (2*x+5)*(2*x-5)*(4*x^2-25)
0 = 0
x belongs to the empty set
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