(8x^2+36x+36)/(x^2+10x+21)

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Solution for (8x^2+36x+36)/(x^2+10x+21) equation: 


D( x )

x^2+10*x+21 = 0

x^2+10*x+21 = 0

x^2+10*x+21 = 0

x^2+10*x+21 = 0

DELTA = 10^2-(1*4*21)

DELTA = 16

DELTA > 0

x = (16^(1/2)-10)/(1*2) or x = (-16^(1/2)-10)/(1*2)

x = -3 or x = -7

x in (-oo:-7) U (-7:-3) U (-3:+oo)

(8*x^2+36*x+36)/(x^2+10*x+21) = 0

8*x^2+36*x+36 = 0

4*(2*x^2+9*x+9) = 0

2*x^2+9*x+9 = 0

DELTA = 9^2-(2*4*9)

DELTA = 9

DELTA > 0

x = (9^(1/2)-9)/(2*2) or x = (-9^(1/2)-9)/(2*2)

x = -3/2 or x = -3

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

x^2+10*x+21 = 0

x^2+10*x+21 = 0

DELTA = 10^2-(1*4*21)

DELTA = 16

DELTA > 0

x = (16^(1/2)-10)/(1*2) or x = (-16^(1/2)-10)/(1*2)

x = -3 or x = -7

(x+7)*(x+3) = 0

(4*(x+3)*(x+3/2))/((x+7)*(x+3)) = 0

( x+3/2 )

x+3/2 = 0 // - 3/2

x = -3/2

( x+3 )

x+3 = 0 // - 3

x = -3

x in { -3} 

x = -3/2

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