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D( x )
x^2-x = 0
x^2+3*x = 0
x^2+2*x-3 = 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^(1/2))/(1*2)
x = 1 or x = 0
x^2+3*x = 0
x^2+3*x = 0
x^2+3*x = 0
DELTA = 3^2-(0*1*4)
DELTA = 9
DELTA > 0
x = (9^(1/2)-3)/(1*2) or x = (-9^(1/2)-3)/(1*2)
x = 0 or x = -3
x^2+2*x-3 = 0
x^2+2*x-3 = 0
x^2+2*x-3 = 0
DELTA = 2^2-(-3*1*4)
DELTA = 16
DELTA > 0
x = (16^(1/2)-2)/(1*2) or x = (-16^(1/2)-2)/(1*2)
x = 1 or x = -3
x in (-oo:-3) U (-3:0) U (0:1) U (1:+oo)
1/(x^2+3*x)-(3/(x^2+2*x-3)) = 1/(x^2-x) // - 1/(x^2-x)
1/(x^2+3*x)-(3/(x^2+2*x-3))-(1/(x^2-x)) = 0
1/(x^2+3*x)-3*(x^2+2*x-3)^-1-(x^2-x)^-1 = 0
1/(x^2+3*x)-3/(x^2+2*x-3)-1/(x^2-x) = 0
x^2+3*x = 0
x^2+3*x = 0
x*(x+3) = 0
x+3 = 0 // - 3
x = -3
x*(x+3) = 0
x^2+2*x-3 = 0
x^2+2*x-3 = 0
x^2+2*x-3 = 0
DELTA = 2^2-(-3*1*4)
DELTA = 16
DELTA > 0
x = (16^(1/2)-2)/(1*2) or x = (-16^(1/2)-2)/(1*2)
x = 1 or x = -3
(x+3)*(x-1) = 0
x^2-x = 0
x^2-x = 0
x*(x-1) = 0
x-1 = 0 // + 1
x = 1
x*(x-1) = 0
1/(x*(x+3))-3/((x+3)*(x-1))-1/(x*(x-1)) = 0
1/(x*(x+3))+(-3*x)/(x*(x+3))+(-1*(x+3))/(x*(x+3)) = 0
1-1*(x+3)-3*x = 0
1-3*x-x-3 = 0
-4*x-2 = 0
(-4*x-2)/(x*(x+3)) = 0
(-4*x-2)/(x*(x+3)) = 0 // * x*(x+3)
-4*x-2 = 0
-4*x-2 = 0 // + 2
-4*x = 2 // : -4
x = 2/(-4)
x = -1/2
x = -1/2
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