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Simplifying -6P2 + 18000P = 0 Reorder the terms: 18000P + -6P2 = 0 Solving 18000P + -6P2 = 0 Solving for variable 'P'. Factor out the Greatest Common Factor (GCF), '6P'. 6P(3000 + -1P) = 0 Ignore the factor 6.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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