((4x^2)-2x+6)/(2x-3)

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Solution for ((4x^2)-2x+6)/(2x-3) equation: 


D( x )

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

x in (-oo:3/2) U (3/2:+oo)

(4*x^2-(2*x)+6)/(2*x-3) = 0

(4*x^2-2*x+6)/(2*x-3) = 0

4*x^2-2*x+6 = 0

2*(2*x^2-x+3) = 0

2*x^2-x+3 = 0

DELTA = (-1)^2-(2*3*4)

DELTA = -23

DELTA < 0

2 = 0

2/(2*x-3) = 0

x belongs to the empty set

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