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Simplifying p3 + -1p = 0 Reorder the terms: -1p + p3 = 0 Solving -1p + p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-1 + p2) = 0 Factor a difference between two squares. p((1 + p)(-1 + p)) = 0Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Subproblem 3
Set the factor '(-1 + p)' equal to zero and attempt to solve: Simplifying -1 + p = 0 Solving -1 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + p = 0 + 1 p = 0 + 1 Combine like terms: 0 + 1 = 1 p = 1 Simplifying p = 1Solution
p = {0, -1, 1}
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