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Simplifying -7p2 + -2p + -7 = -7 + -8p2 Reorder the terms: -7 + -2p + -7p2 = -7 + -8p2 Add '7' to each side of the equation. -7 + -2p + 7 + -7p2 = -7 + 7 + -8p2 Reorder the terms: -7 + 7 + -2p + -7p2 = -7 + 7 + -8p2 Combine like terms: -7 + 7 = 0 0 + -2p + -7p2 = -7 + 7 + -8p2 -2p + -7p2 = -7 + 7 + -8p2 Combine like terms: -7 + 7 = 0 -2p + -7p2 = 0 + -8p2 -2p + -7p2 = -8p2 Solving -2p + -7p2 = -8p2 Solving for variable 'p'. Combine like terms: -7p2 + 8p2 = 1p2 -2p + 1p2 = -8p2 + 8p2 Combine like terms: -8p2 + 8p2 = 0 -2p + 1p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(-2 + 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 '(-2 + p)' equal to zero and attempt to solve: Simplifying -2 + p = 0 Solving -2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + p = 0 + 2 p = 0 + 2 Combine like terms: 0 + 2 = 2 p = 2 Simplifying p = 2Solution
p = {0, 2}
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