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D( x )
x = 0
x-3 = 0
x = 0
x = 0
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
x in (-oo:0) U (0:3) U (3:+oo)
3/(x-3)+3/x = -3/2 // + -3/2
3/(x-3)+3/x-(-3/2) = 0
3/(x-3)+3/x+3/2 = 0
(2*3*x)/(2*x*(x-3))+(2*3*(x-3))/(2*x*(x-3))+(3*x*(x-3))/(2*x*(x-3)) = 0
2*3*(x-3)+3*x*(x-3)+2*3*x = 0
3*x^2+12*x-9*x-18 = 0
3*x^2+3*x-18 = 0
3*x^2+3*x-18 = 0
3*(x^2+x-6) = 0
x^2+x-6 = 0
DELTA = 1^2-(-6*1*4)
DELTA = 25
DELTA > 0
x = (25^(1/2)-1)/(1*2) or x = (-25^(1/2)-1)/(1*2)
x = 2 or x = -3
3*(x+3)*(x-2) = 0
(3*(x+3)*(x-2))/(2*x*(x-3)) = 0
(3*(x+3)*(x-2))/(2*x*(x-3)) = 0 // * 2*x*(x-3)
3*(x+3)*(x-2) = 0
( x+3 )
x+3 = 0 // - 3
x = -3
( x-2 )
x-2 = 0 // + 2
x = 2
x in { -3, 2 }
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