(3x^2+24x+32)/(x+6)

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Solution for (3x^2+24x+32)/(x+6) equation: 


D( x )

x+6 = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:+oo)

(3*x^2+24*x+32)/(x+6) = 0

3*x^2+24*x+32 = 0

3*x^2+24*x+32 = 0

DELTA = 24^2-(3*4*32)

DELTA = 192

DELTA > 0

x = (192^(1/2)-24)/(2*3) or x = (-192^(1/2)-24)/(2*3)

x = (8*3^(1/2)-24)/6 or x = (-8*3^(1/2)-24)/6

(x-((-8*3^(1/2)-24)/6))*(x-((8*3^(1/2)-24)/6)) = 0

((x-((-8*3^(1/2)-24)/6))*(x-((8*3^(1/2)-24)/6)))/(x+6) = 0

( x-((-8*3^(1/2)-24)/6) )

x-((-8*3^(1/2)-24)/6) = 0 // + (-8*3^(1/2)-24)/6

x = (-8*3^(1/2)-24)/6

( x-((8*3^(1/2)-24)/6) )

x-((8*3^(1/2)-24)/6) = 0 // + (8*3^(1/2)-24)/6

x = (8*3^(1/2)-24)/6

x in { (-8*3^(1/2)-24)/6, (8*3^(1/2)-24)/6 }

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