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Simplifying p3 + -121p = 0 Reorder the terms: -121p + p3 = 0 Solving -121p + p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-121 + p2) = 0 Factor a difference between two squares. p((11 + p)(-11 + 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 '(11 + p)' equal to zero and attempt to solve: Simplifying 11 + p = 0 Solving 11 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + p = 0 + -11 p = 0 + -11 Combine like terms: 0 + -11 = -11 p = -11 Simplifying p = -11Subproblem 3
Set the factor '(-11 + p)' equal to zero and attempt to solve: Simplifying -11 + p = 0 Solving -11 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + p = 0 + 11 Combine like terms: -11 + 11 = 0 0 + p = 0 + 11 p = 0 + 11 Combine like terms: 0 + 11 = 11 p = 11 Simplifying p = 11Solution
p = {0, -11, 11}
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