((8x^6)-(12x^5))/(4x^2)

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Solution for ((8x^6)-(12x^5))/(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)

(8*x^6-(12*x^5))/(4*x^2) = 0

(8*x^6-12*x^5)/(4*x^2) = 0

8*x^6-12*x^5 = 0

4*x^5*(2*x-3) = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

4*x^5*(x-3/2) = 0

(4*x^5*(x-3/2))/(4*x^2) = 0

( 4*x^5 )

4*x^5 = 0 // : 4

x^5 = 0

x = 0

( x-3/2 )

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

x = 3/2

x in { 0} 

x = 3/2

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