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

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


D( x )

8*x-2 = 0

8*x-2 = 0

8*x-2 = 0

8*x-2 = 0 // + 2

8*x = 2 // : 8

x = 2/8

x = 1/4

x in (-oo:1/4) U (1/4:+oo)

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

4*x^4-x^3 = 0

x^3*(4*x-1) = 0

4*x-1 = 0 // + 1

4*x = 1 // : 4

x = 1/4

x^3*(x-1/4) = 0

(x^3*(x-1/4))/(8*x-2) = 0

( x-1/4 )

x-1/4 = 0 // + 1/4

x = 1/4

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { 1/4} 

x = 0

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