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Simplifying p3 + -100p = 0 Reorder the terms: -100p + p3 = 0 Solving -100p + p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-100 + p2) = 0 Factor a difference between two squares. p((10 + p)(-10 + 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 '(10 + p)' equal to zero and attempt to solve: Simplifying 10 + p = 0 Solving 10 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + p = 0 + -10 p = 0 + -10 Combine like terms: 0 + -10 = -10 p = -10 Simplifying p = -10Subproblem 3
Set the factor '(-10 + p)' equal to zero and attempt to solve: Simplifying -10 + p = 0 Solving -10 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + p = 0 + 10 Combine like terms: -10 + 10 = 0 0 + p = 0 + 10 p = 0 + 10 Combine like terms: 0 + 10 = 10 p = 10 Simplifying p = 10Solution
p = {0, -10, 10}
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