(2x^2+14x+24)/(x+5)

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Solution for (2x^2+14x+24)/(x+5) 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)

(2*x^2+14*x+24)/(x+5) = 0

2*x^2+14*x+24 = 0

2*(x^2+7*x+12) = 0

x^2+7*x+12 = 0

DELTA = 7^2-(1*4*12)

DELTA = 1

DELTA > 0

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

x = -3 or x = -4

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

(2*(x+4)*(x+3))/(x+5) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x+4 )

x+4 = 0 // - 4

x = -4

x in { -3, -4 }

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