p*p*(1-p)(1-p)(1-p)(1-p)(1-p)(1-p)=0

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Solution for p*p*(1-p)(1-p)(1-p)(1-p)(1-p)(1-p)=0 equation:


Simplifying
p * p(1 + -1p)(1 + -1p)(1 + -1p)(1 + -1p)(1 + -1p)(1 + -1p) = 0

Multiply p * p
p2(1 + -1p)(1 + -1p)(1 + -1p)(1 + -1p)(1 + -1p)(1 + -1p) = 0

Multiply (1 + -1p) * (1 + -1p)
p2(1(1 + -1p) + -1p * (1 + -1p))(1 + -1p)(1 + -1p)(1 + -1p)(1 + -1p) = 0
p2((1 * 1 + -1p * 1) + -1p * (1 + -1p))(1 + -1p)(1 + -1p)(1 + -1p)(1 + -1p) = 0
p2((1 + -1p) + -1p * (1 + -1p))(1 + -1p)(1 + -1p)(1 + -1p)(1 + -1p) = 0
p2(1 + -1p + (1 * -1p + -1p * -1p))(1 + -1p)(1 + -1p)(1 + -1p)(1 + -1p) = 0
p2(1 + -1p + (-1p + 1p2))(1 + -1p)(1 + -1p)(1 + -1p)(1 + -1p) = 0

Combine like terms: -1p + -1p = -2p
p2(1 + -2p + 1p2)(1 + -1p)(1 + -1p)(1 + -1p)(1 + -1p) = 0

Multiply (1 + -2p + 1p2) * (1 + -1p)
p2(1(1 + -1p) + -2p * (1 + -1p) + 1p2 * (1 + -1p))(1 + -1p)(1 + -1p)(1 + -1p) = 0
p2((1 * 1 + -1p * 1) + -2p * (1 + -1p) + 1p2 * (1 + -1p))(1 + -1p)(1 + -1p)(1 + -1p) = 0
p2((1 + -1p) + -2p * (1 + -1p) + 1p2 * (1 + -1p))(1 + -1p)(1 + -1p)(1 + -1p) = 0
p2(1 + -1p + (1 * -2p + -1p * -2p) + 1p2 * (1 + -1p))(1 + -1p)(1 + -1p)(1 + -1p) = 0
p2(1 + -1p + (-2p + 2p2) + 1p2 * (1 + -1p))(1 + -1p)(1 + -1p)(1 + -1p) = 0
p2(1 + -1p + -2p + 2p2 + (1 * 1p2 + -1p * 1p2))(1 + -1p)(1 + -1p)(1 + -1p) = 0
p2(1 + -1p + -2p + 2p2 + (1p2 + -1p3))(1 + -1p)(1 + -1p)(1 + -1p) = 0

Combine like terms: -1p + -2p = -3p
p2(1 + -3p + 2p2 + 1p2 + -1p3)(1 + -1p)(1 + -1p)(1 + -1p) = 0

Combine like terms: 2p2 + 1p2 = 3p2
p2(1 + -3p + 3p2 + -1p3)(1 + -1p)(1 + -1p)(1 + -1p) = 0

Multiply (1 + -3p + 3p2 + -1p3) * (1 + -1p)
p2(1(1 + -1p) + -3p * (1 + -1p) + 3p2 * (1 + -1p) + -1p3 * (1 + -1p))(1 + -1p)(1 + -1p) = 0
p2((1 * 1 + -1p * 1) + -3p * (1 + -1p) + 3p2 * (1 + -1p) + -1p3 * (1 + -1p))(1 + -1p)(1 + -1p) = 0
p2((1 + -1p) + -3p * (1 + -1p) + 3p2 * (1 + -1p) + -1p3 * (1 + -1p))(1 + -1p)(1 + -1p) = 0
p2(1 + -1p + (1 * -3p + -1p * -3p) + 3p2 * (1 + -1p) + -1p3 * (1 + -1p))(1 + -1p)(1 + -1p) = 0
p2(1 + -1p + (-3p + 3p2) + 3p2 * (1 + -1p) + -1p3 * (1 + -1p))(1 + -1p)(1 + -1p) = 0
p2(1 + -1p + -3p + 3p2 + (1 * 3p2 + -1p * 3p2) + -1p3 * (1 + -1p))(1 + -1p)(1 + -1p) = 0
p2(1 + -1p + -3p + 3p2 + (3p2 + -3p3) + -1p3 * (1 + -1p))(1 + -1p)(1 + -1p) = 0
p2(1 + -1p + -3p + 3p2 + 3p2 + -3p3 + (1 * -1p3 + -1p * -1p3))(1 + -1p)(1 + -1p) = 0
p2(1 + -1p + -3p + 3p2 + 3p2 + -3p3 + (-1p3 + 1p4))(1 + -1p)(1 + -1p) = 0

Combine like terms: -1p + -3p = -4p
p2(1 + -4p + 3p2 + 3p2 + -3p3 + -1p3 + 1p4)(1 + -1p)(1 + -1p) = 0

Combine like terms: 3p2 + 3p2 = 6p2
p2(1 + -4p + 6p2 + -3p3 + -1p3 + 1p4)(1 + -1p)(1 + -1p) = 0

Combine like terms: -3p3 + -1p3 = -4p3
p2(1 + -4p + 6p2 + -4p3 + 1p4)(1 + -1p)(1 + -1p) = 0

Multiply (1 + -4p + 6p2 + -4p3 + 1p4) * (1 + -1p)
p2(1(1 + -1p) + -4p * (1 + -1p) + 6p2 * (1 + -1p) + -4p3 * (1 + -1p) + 1p4 * (1 + -1p))(1 + -1p) = 0
p2((1 * 1 + -1p * 1) + -4p * (1 + -1p) + 6p2 * (1 + -1p) + -4p3 * (1 + -1p) + 1p4 * (1 + -1p))(1 + -1p) = 0
p2((1 + -1p) + -4p * (1 + -1p) + 6p2 * (1 + -1p) + -4p3 * (1 + -1p) + 1p4 * (1 + -1p))(1 + -1p) = 0
p2(1 + -1p + (1 * -4p + -1p * -4p) + 6p2 * (1 + -1p) + -4p3 * (1 + -1p) + 1p4 * (1 + -1p))(1 + -1p) = 0
p2(1 + -1p + (-4p + 4p2) + 6p2 * (1 + -1p) + -4p3 * (1 + -1p) + 1p4 * (1 + -1p))(1 + -1p) = 0
p2(1 + -1p + -4p + 4p2 + (1 * 6p2 + -1p * 6p2) + -4p3 * (1 + -1p) + 1p4 * (1 + -1p))(1 + -1p) = 0
p2(1 + -1p + -4p + 4p2 + (6p2 + -6p3) + -4p3 * (1 + -1p) + 1p4 * (1 + -1p))(1 + -1p) = 0
p2(1 + -1p + -4p + 4p2 + 6p2 + -6p3 + (1 * -4p3 + -1p * -4p3) + 1p4 * (1 + -1p))(1 + -1p) = 0
p2(1 + -1p + -4p + 4p2 + 6p2 + -6p3 + (-4p3 + 4p4) + 1p4 * (1 + -1p))(1 + -1p) = 0
p2(1 + -1p + -4p + 4p2 + 6p2 + -6p3 + -4p3 + 4p4 + (1 * 1p4 + -1p * 1p4))(1 + -1p) = 0
p2(1 + -1p + -4p + 4p2 + 6p2 + -6p3 + -4p3 + 4p4 + (1p4 + -1p5))(1 + -1p) = 0

Combine like terms: -1p + -4p = -5p
p2(1 + -5p + 4p2 + 6p2 + -6p3 + -4p3 + 4p4 + 1p4 + -1p5)(1 + -1p) = 0

Combine like terms: 4p2 + 6p2 = 10p2
p2(1 + -5p + 10p2 + -6p3 + -4p3 + 4p4 + 1p4 + -1p5)(1 + -1p) = 0

Combine like terms: -6p3 + -4p3 = -10p3
p2(1 + -5p + 10p2 + -10p3 + 4p4 + 1p4 + -1p5)(1 + -1p) = 0

Combine like terms: 4p4 + 1p4 = 5p4
p2(1 + -5p + 10p2 + -10p3 + 5p4 + -1p5)(1 + -1p) = 0

Multiply (1 + -5p + 10p2 + -10p3 + 5p4 + -1p5) * (1 + -1p)
p2(1(1 + -1p) + -5p * (1 + -1p) + 10p2 * (1 + -1p) + -10p3 * (1 + -1p) + 5p4 * (1 + -1p) + -1p5 * (1 + -1p)) = 0
p2((1 * 1 + -1p * 1) + -5p * (1 + -1p) + 10p2 * (1 + -1p) + -10p3 * (1 + -1p) + 5p4 * (1 + -1p) + -1p5 * (1 + -1p)) = 0
p2((1 + -1p) + -5p * (1 + -1p) + 10p2 * (1 + -1p) + -10p3 * (1 + -1p) + 5p4 * (1 + -1p) + -1p5 * (1 + -1p)) = 0
p2(1 + -1p + (1 * -5p + -1p * -5p) + 10p2 * (1 + -1p) + -10p3 * (1 + -1p) + 5p4 * (1 + -1p) + -1p5 * (1 + -1p)) = 0
p2(1 + -1p + (-5p + 5p2) + 10p2 * (1 + -1p) + -10p3 * (1 + -1p) + 5p4 * (1 + -1p) + -1p5 * (1 + -1p)) = 0
p2(1 + -1p + -5p + 5p2 + (1 * 10p2 + -1p * 10p2) + -10p3 * (1 + -1p) + 5p4 * (1 + -1p) + -1p5 * (1 + -1p)) = 0
p2(1 + -1p + -5p + 5p2 + (10p2 + -10p3) + -10p3 * (1 + -1p) + 5p4 * (1 + -1p) + -1p5 * (1 + -1p)) = 0
p2(1 + -1p + -5p + 5p2 + 10p2 + -10p3 + (1 * -10p3 + -1p * -10p3) + 5p4 * (1 + -1p) + -1p5 * (1 + -1p)) = 0
p2(1 + -1p + -5p + 5p2 + 10p2 + -10p3 + (-10p3 + 10p4) + 5p4 * (1 + -1p) + -1p5 * (1 + -1p)) = 0
p2(1 + -1p + -5p + 5p2 + 10p2 + -10p3 + -10p3 + 10p4 + (1 * 5p4 + -1p * 5p4) + -1p5 * (1 + -1p)) = 0
p2(1 + -1p + -5p + 5p2 + 10p2 + -10p3 + -10p3 + 10p4 + (5p4 + -5p5) + -1p5 * (1 + -1p)) = 0
p2(1 + -1p + -5p + 5p2 + 10p2 + -10p3 + -10p3 + 10p4 + 5p4 + -5p5 + (1 * -1p5 + -1p * -1p5)) = 0
p2(1 + -1p + -5p + 5p2 + 10p2 + -10p3 + -10p3 + 10p4 + 5p4 + -5p5 + (-1p5 + 1p6)) = 0

Combine like terms: -1p + -5p = -6p
p2(1 + -6p + 5p2 + 10p2 + -10p3 + -10p3 + 10p4 + 5p4 + -5p5 + -1p5 + 1p6) = 0

Combine like terms: 5p2 + 10p2 = 15p2
p2(1 + -6p + 15p2 + -10p3 + -10p3 + 10p4 + 5p4 + -5p5 + -1p5 + 1p6) = 0

Combine like terms: -10p3 + -10p3 = -20p3
p2(1 + -6p + 15p2 + -20p3 + 10p4 + 5p4 + -5p5 + -1p5 + 1p6) = 0

Combine like terms: 10p4 + 5p4 = 15p4
p2(1 + -6p + 15p2 + -20p3 + 15p4 + -5p5 + -1p5 + 1p6) = 0

Combine like terms: -5p5 + -1p5 = -6p5
p2(1 + -6p + 15p2 + -20p3 + 15p4 + -6p5 + 1p6) = 0
(1 * p2 + -6p * p2 + 15p2 * p2 + -20p3 * p2 + 15p4 * p2 + -6p5 * p2 + 1p6 * p2) = 0
(1p2 + -6p3 + 15p4 + -20p5 + 15p6 + -6p7 + 1p8) = 0

Solving
1p2 + -6p3 + 15p4 + -20p5 + 15p6 + -6p7 + 1p8 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(1 + -6p + 15p2 + -20p3 + 15p4 + -6p5 + p6) = 0

Subproblem 1

Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}

Subproblem 2

Set the factor '(1 + -6p + 15p2 + -20p3 + 15p4 + -6p5 + p6)' equal to zero and attempt to solve: Simplifying 1 + -6p + 15p2 + -20p3 + 15p4 + -6p5 + p6 = 0 Solving 1 + -6p + 15p2 + -20p3 + 15p4 + -6p5 + p6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

p = {0}

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