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D( x )
x = 0
x^2+x = 0
x+1 = 0
x = 0
x = 0
x^2+x = 0
x^2+x = 0
x^2+x = 0
DELTA = 1^2-(0*1*4)
DELTA = 1
DELTA > 0
x = (1^(1/2)-1)/(1*2) or x = (-1^(1/2)-1)/(1*2)
x = 0 or x = -1
x+1 = 0
x+1 = 0
x+1 = 0 // - 1
x = -1
x in (-oo:-1) U (-1:0) U (0:+oo)
3/(x+1)-(5/x) = 19/(x^2+x) // - 19/(x^2+x)
3/(x+1)-(19/(x^2+x))-(5/x) = 0
3/(x+1)-19*(x^2+x)^-1-5*x^-1 = 0
3/(x+1)-19/(x^2+x)-5/x = 0
x^2+x = 0
x^2+x = 0
x*(x+1) = 0
x+1 = 0 // - 1
x = -1
x*(x+1) = 0
3/(x+1)-19/(x*(x+1))-5/x = 0
(3*x)/(x*(x+1))-19/(x*(x+1))+(-5*(x+1))/(x*(x+1)) = 0
3*x-5*(x+1)-19 = 0
3*x-5*x-19-5 = 0
-2*x-24 = 0
(-2*x-24)/(x*(x+1)) = 0
(-2*x-24)/(x*(x+1)) = 0 // * x*(x+1)
-2*x-24 = 0
-2*x-24 = 0 // + 24
-2*x = 24 // : -2
x = 24/(-2)
x = -12
x = -12
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