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Simplifying 55 + -1P2 = -5 + 7P Solving 55 + -1P2 = -5 + 7P Solving for variable 'P'. Reorder the terms: 55 + 5 + -7P + -1P2 = -5 + 7P + 5 + -7P Combine like terms: 55 + 5 = 60 60 + -7P + -1P2 = -5 + 7P + 5 + -7P Reorder the terms: 60 + -7P + -1P2 = -5 + 5 + 7P + -7P Combine like terms: -5 + 5 = 0 60 + -7P + -1P2 = 0 + 7P + -7P 60 + -7P + -1P2 = 7P + -7P Combine like terms: 7P + -7P = 0 60 + -7P + -1P2 = 0 Factor a trinomial. (5 + -1P)(12 + P) = 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 '(12 + P)' equal to zero and attempt to solve: Simplifying 12 + P = 0 Solving 12 + P = 0 Move all terms containing P to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + P = 0 + -12 Combine like terms: 12 + -12 = 0 0 + P = 0 + -12 P = 0 + -12 Combine like terms: 0 + -12 = -12 P = -12 Simplifying P = -12Solution
P = {5, -12}
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