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Simplifying P2 + -45P = -200 Reorder the terms: -45P + P2 = -200 Solving -45P + P2 = -200 Solving for variable 'P'. Reorder the terms: 200 + -45P + P2 = -200 + 200 Combine like terms: -200 + 200 = 0 200 + -45P + P2 = 0 Factor a trinomial. (5 + -1P)(40 + -1P) = 0Subproblem 1
Set the factor '(5 + -1P)' equal to zero and attempt to solve: Simplifying 5 + -1P = 0 Solving 5 + -1P = 0 Move all terms containing P to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1P = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1P = 0 + -5 -1P = 0 + -5 Combine like terms: 0 + -5 = -5 -1P = -5 Divide each side by '-1'. P = 5 Simplifying P = 5Subproblem 2
Set the factor '(40 + -1P)' equal to zero and attempt to solve: Simplifying 40 + -1P = 0 Solving 40 + -1P = 0 Move all terms containing P to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1P = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1P = 0 + -40 -1P = 0 + -40 Combine like terms: 0 + -40 = -40 -1P = -40 Divide each side by '-1'. P = 40 Simplifying P = 40Solution
P = {5, 40}
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