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Simplifying p3 + -169p = 0 Reorder the terms: -169p + p3 = 0 Solving -169p + p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-169 + p2) = 0 Factor a difference between two squares. p((13 + p)(-13 + 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 '(13 + p)' equal to zero and attempt to solve: Simplifying 13 + p = 0 Solving 13 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + p = 0 + -13 p = 0 + -13 Combine like terms: 0 + -13 = -13 p = -13 Simplifying p = -13Subproblem 3
Set the factor '(-13 + p)' equal to zero and attempt to solve: Simplifying -13 + p = 0 Solving -13 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + p = 0 + 13 Combine like terms: -13 + 13 = 0 0 + p = 0 + 13 p = 0 + 13 Combine like terms: 0 + 13 = 13 p = 13 Simplifying p = 13Solution
p = {0, -13, 13}
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