(4x^2+30x+40)/(x+6)

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Solution for (4x^2+30x+40)/(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)

(4*x^2+30*x+40)/(x+6) = 0

4*x^2+30*x+40 = 0

2*(2*x^2+15*x+20) = 0

2*x^2+15*x+20 = 0

DELTA = 15^2-(2*4*20)

DELTA = 65

DELTA > 0

x = (65^(1/2)-15)/(2*2) or x = (-65^(1/2)-15)/(2*2)

x = (65^(1/2)-15)/4 or x = (-(65^(1/2)+15))/4

2*(x+(65^(1/2)+15)/4)*(x-((65^(1/2)-15)/4)) = 0

(2*(x+(65^(1/2)+15)/4)*(x-((65^(1/2)-15)/4)))/(x+6) = 0

( x+(65^(1/2)+15)/4 )

x+(65^(1/2)+15)/4 = 0 // - (65^(1/2)+15)/4

x = -((65^(1/2)+15)/4)

( x-((65^(1/2)-15)/4) )

x-((65^(1/2)-15)/4) = 0 // + (65^(1/2)-15)/4

x = (65^(1/2)-15)/4

x in { -((65^(1/2)+15)/4), (65^(1/2)-15)/4 }

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