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D( x )
3*x+15 = 0
x^2-25 = 0
3*x+15 = 0
3*x+15 = 0
3*x+15 = 0 // - 15
3*x = -15 // : 3
x = -15/3
x = -5
x^2-25 = 0
x^2-25 = 0
1*x^2 = 25 // : 1
x^2 = 25
x^2 = 25 // ^ 1/2
abs(x) = 5
x = 5 or x = -5
x in (-oo:-5) U (-5:5) U (5:+oo)
4/(3*x+15)+(2*x)/(x^2-25) = 0
(4*(x^2-25))/((3*x+15)*(x^2-25))+(2*x*(3*x+15))/((3*x+15)*(x^2-25)) = 0
4*(x^2-25)+2*x*(3*x+15) = 0
10*x^2+30*x-100 = 0
10*x^2+30*x-100 = 0
10*(x^2+3*x-10) = 0
x^2+3*x-10 = 0
DELTA = 3^2-(-10*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)-3)/(1*2) or x = (-49^(1/2)-3)/(1*2)
x = 2 or x = -5
10*(x+5)*(x-2) = 0
(10*(x+5)*(x-2))/((3*x+15)*(x^2-25)) = 0
(10*(x+5)*(x-2))/((3*x+15)*(x^2-25)) = 0 // * (3*x+15)*(x^2-25)
10*(x+5)*(x-2) = 0
( x+5 )
x+5 = 0 // - 5
x = -5
( x-2 )
x-2 = 0 // + 2
x = 2
x in { -5}
x = 2
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