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Simplifying p3 + -225p = 0 Reorder the terms: -225p + p3 = 0 Solving -225p + p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-225 + p2) = 0 Factor a difference between two squares. p((15 + p)(-15 + 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 '(15 + p)' equal to zero and attempt to solve: Simplifying 15 + p = 0 Solving 15 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + p = 0 + -15 p = 0 + -15 Combine like terms: 0 + -15 = -15 p = -15 Simplifying p = -15Subproblem 3
Set the factor '(-15 + p)' equal to zero and attempt to solve: Simplifying -15 + p = 0 Solving -15 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + p = 0 + 15 Combine like terms: -15 + 15 = 0 0 + p = 0 + 15 p = 0 + 15 Combine like terms: 0 + 15 = 15 p = 15 Simplifying p = 15Solution
p = {0, -15, 15}
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