(12x^4-8x^3)/(4x^2)

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Solution for (12x^4-8x^3)/(4x^2) equation: 


D( x )

4*x^2 = 0

4*x^2 = 0

4*x^2 = 0

4*x^2 = 0 // : 4

x^2 = 0

x = 0

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

(12*x^4-(8*x^3))/(4*x^2) = 0

(12*x^4-8*x^3)/(4*x^2) = 0

12*x^4-8*x^3 = 0

4*x^3*(3*x-2) = 0

3*x-2 = 0 // + 2

3*x = 2 // : 3

x = 2/3

4*x^3*(x-2/3) = 0

(4*x^3*(x-2/3))/(4*x^2) = 0

( 4*x^3 )

4*x^3 = 0 // : 4

x^3 = 0

x = 0

( x-2/3 )

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

x = 2/3

x in { 0} 

x = 2/3

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