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Simplifying 10p(1 + 9p) = 8p2 (1 * 10p + 9p * 10p) = 8p2 (10p + 90p2) = 8p2 Solving 10p + 90p2 = 8p2 Solving for variable 'p'. Combine like terms: 90p2 + -8p2 = 82p2 10p + 82p2 = 8p2 + -8p2 Combine like terms: 8p2 + -8p2 = 0 10p + 82p2 = 0 Factor out the Greatest Common Factor (GCF), '2p'. 2p(5 + 41p) = 0 Ignore the factor 2.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 '(5 + 41p)' equal to zero and attempt to solve: Simplifying 5 + 41p = 0 Solving 5 + 41p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 41p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 41p = 0 + -5 41p = 0 + -5 Combine like terms: 0 + -5 = -5 41p = -5 Divide each side by '41'. p = -0.1219512195 Simplifying p = -0.1219512195Solution
p = {0, -0.1219512195}
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