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Simplifying p3 + -9p = 0 Reorder the terms: -9p + p3 = 0 Solving -9p + p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-9 + p2) = 0 Factor a difference between two squares. p((3 + p)(-3 + 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 '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Subproblem 3
Set the factor '(-3 + p)' equal to zero and attempt to solve: Simplifying -3 + p = 0 Solving -3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + p = 0 + 3 p = 0 + 3 Combine like terms: 0 + 3 = 3 p = 3 Simplifying p = 3Solution
p = {0, -3, 3}
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