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Simplifying 8p2 = -32p Solving 8p2 = -32p Solving for variable 'p'. Reorder the terms: 32p + 8p2 = -32p + 32p Combine like terms: -32p + 32p = 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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