(6v^7)-(9v^4)/(3v^3)

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Solution for (6v^7)-(9v^4)/(3v^3) equation: 


D( v )

3*v^3 = 0

3*v^3 = 0

3*v^3 = 0

3*v^3 = 0 // : 3

v^3 = 0

v = 0

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

6*v^7-((9*v^4)/(3*v^3)) = 0

6*v^7-3*v = 0

6*v^7-3*v = 0

3*v*(2*v^6-1) = 0

2*v^6 = 1 // : 2

v^6 = 1/2

v^6 = 1/2 // ^ 1/6

abs(v) = (1/2)^(1/6)

v = (1/2)^(1/6) or v = -(1/2)^(1/6)

3*v = 0

3*v = 0 // : 3

v = 0

v in { 0} 

v in { (1/2)^(1/6), -(1/2)^(1/6) }

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