p^1/5(p^4/5-2p^14/5)

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Solution for p^1/5(p^4/5-2p^14/5) equation: 


p in (-oo:+oo)

((p^1)/5)*((p^4)/5-((2*p^14)/5)) = 0

(p/5)*((-2/5)*p^14+(p^4)/5) = 0

1/5*p*(1/5*p^4-2/5*p^14) = 0

1/5*p^4-2/5*p^14 = 0

1/5*p^4*(1-2*p^10) = 0

-2*p^10 = -1 // : -2

p^10 = 1/2

p^10 = 1/2 // ^ 1/10

abs(p) = (1/2)^(1/10)

p = (1/2)^(1/10) or p = -(1/2)^(1/10)

1/5*p^4*(p-(1/2)^(1/10))*(p+(1/2)^(1/10)) = 0

1/5*1/5*p*p^4*(p-(1/2)^(1/10))*(p+(1/2)^(1/10)) = 0

( 1/5*p )

1/5*p = 0 // : 1/5

p = 0

( 1/5*p^4 )

1/5*p^4 = 0 // : 1/5

p^4 = 0

p = 0

( p+(1/2)^(1/10) )

p+(1/2)^(1/10) = 0 // - (1/2)^(1/10)

p = -(1/2)^(1/10)

( p-(1/2)^(1/10) )

p-(1/2)^(1/10) = 0 // + (1/2)^(1/10)

p = (1/2)^(1/10)

p in { 0, 0, -(1/2)^(1/10), (1/2)^(1/10) }

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