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D( x )
2*x-6 = 0
2*x-6 = 0
2*x-6 = 0
2*x-6 = 0 // + 6
2*x = 6 // : 2
x = 6/2
x = 3
x in (-oo:3) U (3:+oo)
x/(2*x-6)+(3/2)*x = 0
x/(2*x-6)+(3*x)/2 = 0
(2*x)/(2*(2*x-6))+(3*x*(2*x-6))/(2*(2*x-6)) = 0
3*x*(2*x-6)+2*x = 0
6*x^2-16*x = 0
6*x^2-16*x = 0
2*x*(3*x-8) = 0
3*x-8 = 0 // + 8
3*x = 8 // : 3
x = 8/3
2*x*(x-8/3) = 0
(2*x*(x-8/3))/(2*(2*x-6)) = 0
(2*x*(x-8/3))/(2*(2*x-6)) = 0 // * 2*(2*x-6)
2*x*(x-8/3) = 0
( 2*x )
2*x = 0 // : 2
x = 0
( x-8/3 )
x-8/3 = 0 // + 8/3
x = 8/3
x in { 0, 8/3 }
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