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D( x )
x^2-1 = 0
x+1 = 0
x-1 = 0
x^2-1 = 0
x^2-1 = 0
1*x^2 = 1 // : 1
x^2 = 1
x^2 = 1 // ^ 1/2
abs(x) = 1
x = 1 or x = -1
x+1 = 0
x+1 = 0
x+1 = 0 // - 1
x = -1
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:-1) U (-1:1) U (1:+oo)
4/(x+1)+3/(x^2-1) = 5/(x-1) // - 5/(x-1)
4/(x+1)+3/(x^2-1)-(5/(x-1)) = 0
4/(x+1)+3/(x^2-1)-5*(x-1)^-1 = 0
4/(x+1)+3/(x^2-1)-5/(x-1) = 0
(4*(x^2-1)*(x-1))/((x+1)*(x^2-1)*(x-1))+(3*(x+1)*(x-1))/((x+1)*(x^2-1)*(x-1))+(-5*(x+1)*(x^2-1))/((x+1)*(x^2-1)*(x-1)) = 0
4*(x^2-1)*(x-1)+3*(x+1)*(x-1)-5*(x+1)*(x^2-1) = 0
4*x^3-5*x^3-x^2-5*x^2-4*x+5*x+1+5 = 0
x-x^3-6*x^2+6 = 0
x-x^3-6*x^2+6 = 0
x-x^3-6*x^2+6
x*(1-x^2)-6*x^2+6
6*(1-x^2)+x*(1-x^2)
(x+6)*(1-x^2)
((x+6)*(1-x^2))/((x+1)*(x^2-1)*(x-1)) = 0
((x+6)*(1-x^2))/((x+1)*(x^2-1)*(x-1)) = 0 // * (x+1)*(x^2-1)*(x-1)
(x+6)*(1-x^2) = 0
( 1-x^2 )
-1*x^2 = -1 // : -1
x^2 = 1
x^2 = 1 // ^ 1/2
abs(x) = 1
x = 1 or x = -1
( x+6 )
x+6 = 0 // - 6
x = -6
x in { 1}
x in { -1}
x = -6
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