(2x^2+18x+33)/(x+7)

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Solution for (2x^2+18x+33)/(x+7) equation: 


D( x )

x+7 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x in (-oo:-7) U (-7:+oo)

(2*x^2+18*x+33)/(x+7) = 0

2*x^2+18*x+33 = 0

2*x^2+18*x+33 = 0

DELTA = 18^2-(2*4*33)

DELTA = 60

DELTA > 0

x = (60^(1/2)-18)/(2*2) or x = (-60^(1/2)-18)/(2*2)

x = (2*15^(1/2)-18)/4 or x = (-2*15^(1/2)-18)/4

(x-((-2*15^(1/2)-18)/4))*(x-((2*15^(1/2)-18)/4)) = 0

((x-((-2*15^(1/2)-18)/4))*(x-((2*15^(1/2)-18)/4)))/(x+7) = 0

( x-((-2*15^(1/2)-18)/4) )

x-((-2*15^(1/2)-18)/4) = 0 // + (-2*15^(1/2)-18)/4

x = (-2*15^(1/2)-18)/4

( x-((2*15^(1/2)-18)/4) )

x-((2*15^(1/2)-18)/4) = 0 // + (2*15^(1/2)-18)/4

x = (2*15^(1/2)-18)/4

x in { (-2*15^(1/2)-18)/4, (2*15^(1/2)-18)/4 }

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