((x^2-16)/4x)/(12x/(4-x))

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Solution for ((x^2-16)/4x)/(12x/(4-x)) equation: 


D( x )

(12*x)/(4-x) = 0

4-x = 0

(12*x)/(4-x) = 0

(12*x)/(4-x) = 0

12*x = 0 // : 12

x = 0

4-x = 0

4-x = 0

4-x = 0 // - 4

-x = -4 // * -1

x = 4

x in (-oo:0) U (0:4) U (4:+oo)

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

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

( 4-x )

4-x = 0 // - 4

-x = -4 // * -1

x = 4

( x )

x = 0

( x^2-16 )

1*x^2 = 16 // : 1

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x in { 4} 

x in { 0} 

x in { 4} 

x = -4

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