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Simplifying -2p2 + 4000p = 0 Reorder the terms: 4000p + -2p2 = 0 Solving 4000p + -2p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(2000 + -1p) = 0 Ignore the factor 2.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 '(2000 + -1p)' equal to zero and attempt to solve: Simplifying 2000 + -1p = 0 Solving 2000 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2000' to each side of the equation. 2000 + -2000 + -1p = 0 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -1p = 0 + -2000 -1p = 0 + -2000 Combine like terms: 0 + -2000 = -2000 -1p = -2000 Divide each side by '-1'. p = 2000 Simplifying p = 2000Solution
p = {0, 2000}
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