16x^7=4x^6/x

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Solution for 16x^7=4x^6/x equation: 


D( x )

x = 0

x = 0

x = 0

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

16*x^7 = (4*x^6)/x // - (4*x^6)/x

16*x^7-((4*x^6)/x) = 0

16*x^7-4*x^5 = 0

16*x^7-4*x^5 = 0

4*x^5*(4*x^2-1) = 0

4*x^2 = 1 // : 4

x^2 = 1/4

x^2 = 1/4 // ^ 1/2

abs(x) = 1/2

x = 1/2 or x = -1/2

4*x^5 = 0

4*x^5 = 0 // : 4

x^5 = 0

x = 0

x in { 0} 

x in { 1/2, -1/2 }

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