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Simplifying p(8p + 1) = 0 Reorder the terms: p(1 + 8p) = 0 (1 * p + 8p * p) = 0 (1p + 8p2) = 0 Solving 1p + 8p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(1 + 8p) = 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 '(1 + 8p)' equal to zero and attempt to solve: Simplifying 1 + 8p = 0 Solving 1 + 8p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8p = 0 + -1 8p = 0 + -1 Combine like terms: 0 + -1 = -1 8p = -1 Divide each side by '8'. p = -0.125 Simplifying p = -0.125Solution
p = {0, -0.125}
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