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Simplifying 0 = 8p2 + 32p Reorder the terms: 0 = 32p + 8p2 Solving 0 = 32p + 8p2 Solving for variable 'p'. Remove the zero: -32p + -8p2 = 32p + 8p2 + -32p + -8p2 Reorder the terms: -32p + -8p2 = 32p + -32p + 8p2 + -8p2 Combine like terms: 32p + -32p = 0 -32p + -8p2 = 0 + 8p2 + -8p2 -32p + -8p2 = 8p2 + -8p2 Combine like terms: 8p2 + -8p2 = 0 -32p + -8p2 = 0 Factor out the Greatest Common Factor (GCF), '-8p'. -8p(4 + p) = 0 Ignore the factor -8.Subproblem 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 '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Solution
p = {0, -4}
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