(6x^2+18x+8)/(x+2)

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Solution for (6x^2+18x+8)/(x+2) equation: 


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

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

(6*x^2+18*x+8)/(x+2) = 0

6*x^2+18*x+8 = 0

2*(3*x^2+9*x+4) = 0

3*x^2+9*x+4 = 0

DELTA = 9^2-(3*4*4)

DELTA = 33

DELTA > 0

x = (33^(1/2)-9)/(2*3) or x = (-33^(1/2)-9)/(2*3)

x = (33^(1/2)-9)/6 or x = (-(33^(1/2)+9))/6

2*(x+(33^(1/2)+9)/6)*(x-((33^(1/2)-9)/6)) = 0

(2*(x+(33^(1/2)+9)/6)*(x-((33^(1/2)-9)/6)))/(x+2) = 0

( x+(33^(1/2)+9)/6 )

x+(33^(1/2)+9)/6 = 0 // - (33^(1/2)+9)/6

x = -((33^(1/2)+9)/6)

( x-((33^(1/2)-9)/6) )

x-((33^(1/2)-9)/6) = 0 // + (33^(1/2)-9)/6

x = (33^(1/2)-9)/6

x in { -((33^(1/2)+9)/6), (33^(1/2)-9)/6 }

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