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Simplifying 3p2 + 21p2 + 36p = 0 Reorder the terms: 36p + 3p2 + 21p2 = 0 Combine like terms: 3p2 + 21p2 = 24p2 36p + 24p2 = 0 Solving 36p + 24p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '12p'. 12p(3 + 2p) = 0 Ignore the factor 12.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 + 2p)' equal to zero and attempt to solve: Simplifying 3 + 2p = 0 Solving 3 + 2p = 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 + 2p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2p = 0 + -3 2p = 0 + -3 Combine like terms: 0 + -3 = -3 2p = -3 Divide each side by '2'. p = -1.5 Simplifying p = -1.5Solution
p = {0, -1.5}
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