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Simplifying -5p2 + 100p = 0 Reorder the terms: 100p + -5p2 = 0 Solving 100p + -5p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5p'. 5p(20 + -1p) = 0 Ignore the factor 5.Subproblem 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 '(20 + -1p)' equal to zero and attempt to solve: Simplifying 20 + -1p = 0 Solving 20 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1p = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1p = 0 + -20 -1p = 0 + -20 Combine like terms: 0 + -20 = -20 -1p = -20 Divide each side by '-1'. p = 20 Simplifying p = 20Solution
p = {0, 20}
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