(4x^6-14x^5)/(2x^2)

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Solution for (4x^6-14x^5)/(2x^2) equation: 


D( x )

2*x^2 = 0

2*x^2 = 0

2*x^2 = 0

2*x^2 = 0 // : 2

x^2 = 0

x = 0

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

(4*x^6-(14*x^5))/(2*x^2) = 0

(4*x^6-14*x^5)/(2*x^2) = 0

4*x^6-14*x^5 = 0

2*x^5*(2*x-7) = 0

2*x-7 = 0 // + 7

2*x = 7 // : 2

x = 7/2

2*x^5*(x-7/2) = 0

(2*x^5*(x-7/2))/(2*x^2) = 0

( 2*x^5 )

2*x^5 = 0 // : 2

x^5 = 0

x = 0

( x-7/2 )

x-7/2 = 0 // + 7/2

x = 7/2

x in { 0} 

x = 7/2

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