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Simplifying -1p2 + -2p = -2p2 + -7p Reorder the terms: -2p + -1p2 = -2p2 + -7p Reorder the terms: -2p + -1p2 = -7p + -2p2 Solving -2p + -1p2 = -7p + -2p2 Solving for variable 'p'. Reorder the terms: -2p + 7p + -1p2 + 2p2 = -7p + -2p2 + 7p + 2p2 Combine like terms: -2p + 7p = 5p 5p + -1p2 + 2p2 = -7p + -2p2 + 7p + 2p2 Combine like terms: -1p2 + 2p2 = 1p2 5p + 1p2 = -7p + -2p2 + 7p + 2p2 Reorder the terms: 5p + 1p2 = -7p + 7p + -2p2 + 2p2 Combine like terms: -7p + 7p = 0 5p + 1p2 = 0 + -2p2 + 2p2 5p + 1p2 = -2p2 + 2p2 Combine like terms: -2p2 + 2p2 = 0 5p + 1p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(5 + p) = 0Subproblem 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 '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 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 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5Solution
p = {0, -5}
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