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Simplifying p(p + 4) + -2p(p + -8) = 0 Reorder the terms: p(4 + p) + -2p(p + -8) = 0 (4 * p + p * p) + -2p(p + -8) = 0 (4p + p2) + -2p(p + -8) = 0 Reorder the terms: 4p + p2 + -2p(-8 + p) = 0 4p + p2 + (-8 * -2p + p * -2p) = 0 4p + p2 + (16p + -2p2) = 0 Reorder the terms: 4p + 16p + p2 + -2p2 = 0 Combine like terms: 4p + 16p = 20p 20p + p2 + -2p2 = 0 Combine like terms: p2 + -2p2 = -1p2 20p + -1p2 = 0 Solving 20p + -1p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(20 + -1p) = 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 '(20 + -1p)' equal to zero and attempt to solve: Simplifying 20 + -1p = 0 Solving 20 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1p = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1p = 0 + -20 -1p = 0 + -20 Combine like terms: 0 + -20 = -20 -1p = -20 Divide each side by '-1'. p = 20 Simplifying p = 20Solution
p = {0, 20}
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