(p^5+3p^3-3p-1)(p^5-3p^3-3p+1)=0

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Solution for (p^5+3p^3-3p-1)(p^5-3p^3-3p+1)=0 equation: 


Simplifying
(p5 + 3p3 + -3p + -1)(p5 + -3p3 + -3p + 1) = 0

Reorder the terms:
(-1 + -3p + 3p3 + p5)(p5 + -3p3 + -3p + 1) = 0

Reorder the terms:
(-1 + -3p + 3p3 + p5)(1 + -3p + -3p3 + p5) = 0

Multiply (-1 + -3p + 3p3 + p5) * (1 + -3p + -3p3 + p5)
(-1(1 + -3p + -3p3 + p5) + -3p * (1 + -3p + -3p3 + p5) + 3p3 * (1 + -3p + -3p3 + p5) + p5(1 + -3p + -3p3 + p5)) = 0
((1 * -1 + -3p * -1 + -3p3 * -1 + p5 * -1) + -3p * (1 + -3p + -3p3 + p5) + 3p3 * (1 + -3p + -3p3 + p5) + p5(1 + -3p + -3p3 + p5)) = 0
((-1 + 3p + 3p3 + -1p5) + -3p * (1 + -3p + -3p3 + p5) + 3p3 * (1 + -3p + -3p3 + p5) + p5(1 + -3p + -3p3 + p5)) = 0
(-1 + 3p + 3p3 + -1p5 + (1 * -3p + -3p * -3p + -3p3 * -3p + p5 * -3p) + 3p3 * (1 + -3p + -3p3 + p5) + p5(1 + -3p + -3p3 + p5)) = 0
(-1 + 3p + 3p3 + -1p5 + (-3p + 9p2 + 9p4 + -3p6) + 3p3 * (1 + -3p + -3p3 + p5) + p5(1 + -3p + -3p3 + p5)) = 0
(-1 + 3p + 3p3 + -1p5 + -3p + 9p2 + 9p4 + -3p6 + (1 * 3p3 + -3p * 3p3 + -3p3 * 3p3 + p5 * 3p3) + p5(1 + -3p + -3p3 + p5)) = 0
(-1 + 3p + 3p3 + -1p5 + -3p + 9p2 + 9p4 + -3p6 + (3p3 + -9p4 + -9p6 + 3p8) + p5(1 + -3p + -3p3 + p5)) = 0
(-1 + 3p + 3p3 + -1p5 + -3p + 9p2 + 9p4 + -3p6 + 3p3 + -9p4 + -9p6 + 3p8 + (1 * p5 + -3p * p5 + -3p3 * p5 + p5 * p5)) = 0
(-1 + 3p + 3p3 + -1p5 + -3p + 9p2 + 9p4 + -3p6 + 3p3 + -9p4 + -9p6 + 3p8 + (1p5 + -3p6 + -3p8 + p10)) = 0

Reorder the terms:
(-1 + 3p + -3p + 9p2 + 3p3 + 3p3 + 9p4 + -9p4 + -1p5 + 1p5 + -3p6 + -9p6 + -3p6 + 3p8 + -3p8 + p10) = 0

Combine like terms: 3p + -3p = 0
(-1 + 0 + 9p2 + 3p3 + 3p3 + 9p4 + -9p4 + -1p5 + 1p5 + -3p6 + -9p6 + -3p6 + 3p8 + -3p8 + p10) = 0
(-1 + 9p2 + 3p3 + 3p3 + 9p4 + -9p4 + -1p5 + 1p5 + -3p6 + -9p6 + -3p6 + 3p8 + -3p8 + p10) = 0

Combine like terms: 3p3 + 3p3 = 6p3
(-1 + 9p2 + 6p3 + 9p4 + -9p4 + -1p5 + 1p5 + -3p6 + -9p6 + -3p6 + 3p8 + -3p8 + p10) = 0

Combine like terms: 9p4 + -9p4 = 0
(-1 + 9p2 + 6p3 + 0 + -1p5 + 1p5 + -3p6 + -9p6 + -3p6 + 3p8 + -3p8 + p10) = 0
(-1 + 9p2 + 6p3 + -1p5 + 1p5 + -3p6 + -9p6 + -3p6 + 3p8 + -3p8 + p10) = 0

Combine like terms: -1p5 + 1p5 = 0
(-1 + 9p2 + 6p3 + 0 + -3p6 + -9p6 + -3p6 + 3p8 + -3p8 + p10) = 0
(-1 + 9p2 + 6p3 + -3p6 + -9p6 + -3p6 + 3p8 + -3p8 + p10) = 0

Combine like terms: -3p6 + -9p6 = -12p6
(-1 + 9p2 + 6p3 + -12p6 + -3p6 + 3p8 + -3p8 + p10) = 0

Combine like terms: -12p6 + -3p6 = -15p6
(-1 + 9p2 + 6p3 + -15p6 + 3p8 + -3p8 + p10) = 0

Combine like terms: 3p8 + -3p8 = 0
(-1 + 9p2 + 6p3 + -15p6 + 0 + p10) = 0
(-1 + 9p2 + 6p3 + -15p6 + p10) = 0

Solving
-1 + 9p2 + 6p3 + -15p6 + p10 = 0

Solving for variable 'p'.

The solution to this equation could not be determined.

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