((5x+20)/4x)*(12x^2/(x^2-16))

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Solution for ((5x+20)/4x)*(12x^2/(x^2-16)) equation: 


D( x )

x^2-16 = 0

x^2-16 = 0

x^2-16 = 0

1*x^2 = 16 // : 1

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x in (-oo:-4) U (-4:4) U (4:+oo)

x*((5*x+20)/4)*((12*x^2)/(x^2-16)) = 0

(12*x*x^2*(5*x+20))/(4*(x^2-16)) = 0

( 12*x^2 )

12*x^2 = 0 // : 12

x^2 = 0

x = 0

( 5*x+20 )

5*x+20 = 0 // - 20

5*x = -20 // : 5

x = -20/5

x = -4

( x )

x = 0

x in { -4} 

x in { 0, 0 }

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