p^3/4(p^1/4-3p^5/4)

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Solution for p^3/4(p^1/4-3p^5/4) equation:


p in (-oo:+oo)

((p^3)/4)*((p^1)/4-((3*p^5)/4)) = 0

((p^3)/4)*((-3/4)*p^5+p/4) = 0

1/4*p^3*(1/4*p-3/4*p^5) = 0

1/4*p-3/4*p^5 = 0

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

-3*p^4 = -1 // : -3

p^4 = 1/3

p^4 = 1/3 // ^ 1/4

abs(p) = (1/3)^(1/4)

p = (1/3)^(1/4) or p = -(1/3)^(1/4)

1/4*p*(p-(1/3)^(1/4))*(p+(1/3)^(1/4)) = 0

1/4*1/4*p*p^3*(p-(1/3)^(1/4))*(p+(1/3)^(1/4)) = 0

( 1/4*p )

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

p = 0

( 1/4*p^3 )

1/4*p^3 = 0 // : 1/4

p^3 = 0

p = 0

( p+(1/3)^(1/4) )

p+(1/3)^(1/4) = 0 // - (1/3)^(1/4)

p = -(1/3)^(1/4)

( p-(1/3)^(1/4) )

p-(1/3)^(1/4) = 0 // + (1/3)^(1/4)

p = (1/3)^(1/4)

p in { 0, 0, -(1/3)^(1/4), (1/3)^(1/4) }

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