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Simplifying 2p(5p + 2) + p(5p + 5) = 0 Reorder the terms: 2p(2 + 5p) + p(5p + 5) = 0 (2 * 2p + 5p * 2p) + p(5p + 5) = 0 (4p + 10p2) + p(5p + 5) = 0 Reorder the terms: 4p + 10p2 + p(5 + 5p) = 0 4p + 10p2 + (5 * p + 5p * p) = 0 4p + 10p2 + (5p + 5p2) = 0 Reorder the terms: 4p + 5p + 10p2 + 5p2 = 0 Combine like terms: 4p + 5p = 9p 9p + 10p2 + 5p2 = 0 Combine like terms: 10p2 + 5p2 = 15p2 9p + 15p2 = 0 Solving 9p + 15p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(3 + 5p) = 0 Ignore the factor 3.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 '(3 + 5p)' equal to zero and attempt to solve: Simplifying 3 + 5p = 0 Solving 3 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5p = 0 + -3 5p = 0 + -3 Combine like terms: 0 + -3 = -3 5p = -3 Divide each side by '5'. p = -0.6 Simplifying p = -0.6Solution
p = {0, -0.6}
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