(2x^2+16x+25)/(x+5)

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Solution for (2x^2+16x+25)/(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+16*x+25)/(x+5) = 0

2*x^2+16*x+25 = 0

2*x^2+16*x+25 = 0

DELTA = 16^2-(2*4*25)

DELTA = 56

DELTA > 0

x = (56^(1/2)-16)/(2*2) or x = (-56^(1/2)-16)/(2*2)

x = (2*14^(1/2)-16)/4 or x = (-2*14^(1/2)-16)/4

(x-((-2*14^(1/2)-16)/4))*(x-((2*14^(1/2)-16)/4)) = 0

((x-((-2*14^(1/2)-16)/4))*(x-((2*14^(1/2)-16)/4)))/(x+5) = 0

( x-((-2*14^(1/2)-16)/4) )

x-((-2*14^(1/2)-16)/4) = 0 // + (-2*14^(1/2)-16)/4

x = (-2*14^(1/2)-16)/4

( x-((2*14^(1/2)-16)/4) )

x-((2*14^(1/2)-16)/4) = 0 // + (2*14^(1/2)-16)/4

x = (2*14^(1/2)-16)/4

x in { (-2*14^(1/2)-16)/4, (2*14^(1/2)-16)/4 }

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