(6x^2+21x+12)/(x+3)

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Solution for (6x^2+21x+12)/(x+3) equation: 


D( x )

x+3 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

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

(6*x^2+21*x+12)/(x+3) = 0

6*x^2+21*x+12 = 0

3*(2*x^2+7*x+4) = 0

2*x^2+7*x+4 = 0

DELTA = 7^2-(2*4*4)

DELTA = 17

DELTA > 0

x = (17^(1/2)-7)/(2*2) or x = (-17^(1/2)-7)/(2*2)

x = (17^(1/2)-7)/4 or x = (-(17^(1/2)+7))/4

3*(x+(17^(1/2)+7)/4)*(x-((17^(1/2)-7)/4)) = 0

(3*(x+(17^(1/2)+7)/4)*(x-((17^(1/2)-7)/4)))/(x+3) = 0

( x+(17^(1/2)+7)/4 )

x+(17^(1/2)+7)/4 = 0 // - (17^(1/2)+7)/4

x = -((17^(1/2)+7)/4)

( x-((17^(1/2)-7)/4) )

x-((17^(1/2)-7)/4) = 0 // + (17^(1/2)-7)/4

x = (17^(1/2)-7)/4

x in { -((17^(1/2)+7)/4), (17^(1/2)-7)/4 }

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