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Simplifying -4p2 + 12000p = 0 Reorder the terms: 12000p + -4p2 = 0 Solving 12000p + -4p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4p'. 4p(3000 + -1p) = 0 Ignore the factor 4.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 '(3000 + -1p)' equal to zero and attempt to solve: Simplifying 3000 + -1p = 0 Solving 3000 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3000' to each side of the equation. 3000 + -3000 + -1p = 0 + -3000 Combine like terms: 3000 + -3000 = 0 0 + -1p = 0 + -3000 -1p = 0 + -3000 Combine like terms: 0 + -3000 = -3000 -1p = -3000 Divide each side by '-1'. p = 3000 Simplifying p = 3000Solution
p = {0, 3000}
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