((4x+40)/(x^2-100))*((x^2-8x-20)/(8))

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Solution for ((4x+40)/(x^2-100))*((x^2-8x-20)/(8)) equation: 


D( x )

x^2-100 = 0

x^2-100 = 0

x^2-100 = 0

1*x^2 = 100 // : 1

x^2 = 100

x^2 = 100 // ^ 1/2

abs(x) = 10

x = 10 or x = -10

x in (-oo:-10) U (-10:10) U (10:+oo)

((4*x+40)/(x^2-100))*((x^2-(8*x)-20)/8) = 0

((4*x+40)/(x^2-100))*((x^2-8*x-20)/8) = 0

((4*x+40)*(x^2-8*x-20))/(8*(x^2-100)) = 0

x^2-8*x-20 = 0

x^2-8*x-20 = 0

DELTA = (-8)^2-(-20*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)+8)/(1*2) or x = (8-144^(1/2))/(1*2)

x = 10 or x = -2

(x+2)*(x-10) = 0

((4*x+40)*(x+2)*(x-10))/(8*(x^2-100)) = 0

( 4*x+40 )

4*x+40 = 0 // - 40

4*x = -40 // : 4

x = -40/4

x = -10

( x+2 )

x+2 = 0 // - 2

x = -2

( x-10 )

x-10 = 0 // + 10

x = 10

x in { -10} 

x in { 10} 

x = -2

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