(6x^2+11x+3)/(2x+3)

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Solution for (6x^2+11x+3)/(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)

(6*x^2+11*x+3)/(2*x+3) = 0

6*x^2+11*x+3 = 0

6*x^2+11*x+3 = 0

DELTA = 11^2-(3*4*6)

DELTA = 49

DELTA > 0

x = (49^(1/2)-11)/(2*6) or x = (-49^(1/2)-11)/(2*6)

x = -1/3 or x = -3/2

(x+3/2)*(x+1/3) = 0

((x+3/2)*(x+1/3))/(2*x+3) = 0

( x+1/3 )

x+1/3 = 0 // - 1/3

x = -1/3

( x+3/2 )

x+3/2 = 0 // - 3/2

x = -3/2

x in { -3/2} 

x = -1/3

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