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Simplifying 10p(2p + 5) = 0 Reorder the terms: 10p(5 + 2p) = 0 (5 * 10p + 2p * 10p) = 0 (50p + 20p2) = 0 Solving 50p + 20p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '10p'. 10p(5 + 2p) = 0 Ignore the factor 10.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 + 2p)' equal to zero and attempt to solve: Simplifying 5 + 2p = 0 Solving 5 + 2p = 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 + 2p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2p = 0 + -5 2p = 0 + -5 Combine like terms: 0 + -5 = -5 2p = -5 Divide each side by '2'. p = -2.5 Simplifying p = -2.5Solution
p = {0, -2.5}
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