(x^2+12x+30)/(x+5)=0

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Solution for (x^2+12x+30)/(x+5)=0 equation: 


D( x )

x+5 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x in (-oo:-5) U (-5:+oo)

(x^2+12*x+30)/(x+5) = 0

x^2+12*x+30 = 0

x^2+12*x+30 = 0

DELTA = 12^2-(1*4*30)

DELTA = 24

DELTA > 0

x = (24^(1/2)-12)/(1*2) or x = (-24^(1/2)-12)/(1*2)

x = (2*6^(1/2)-12)/2 or x = (-2*6^(1/2)-12)/2

(x-((-2*6^(1/2)-12)/2))*(x-((2*6^(1/2)-12)/2)) = 0

((x-((-2*6^(1/2)-12)/2))*(x-((2*6^(1/2)-12)/2)))/(x+5) = 0

( x-((-2*6^(1/2)-12)/2) )

x-((-2*6^(1/2)-12)/2) = 0 // + (-2*6^(1/2)-12)/2

x = (-2*6^(1/2)-12)/2

( x-((2*6^(1/2)-12)/2) )

x-((2*6^(1/2)-12)/2) = 0 // + (2*6^(1/2)-12)/2

x = (2*6^(1/2)-12)/2

x in { (-2*6^(1/2)-12)/2, (2*6^(1/2)-12)/2 }

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