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Simplifying 2p + 9p2 = -18p Solving 2p + 9p2 = -18p Solving for variable 'p'. Reorder the terms: 2p + 18p + 9p2 = -18p + 18p Combine like terms: 2p + 18p = 20p 20p + 9p2 = -18p + 18p Combine like terms: -18p + 18p = 0 20p + 9p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(20 + 9p) = 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 '(20 + 9p)' equal to zero and attempt to solve: Simplifying 20 + 9p = 0 Solving 20 + 9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 9p = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 9p = 0 + -20 9p = 0 + -20 Combine like terms: 0 + -20 = -20 9p = -20 Divide each side by '9'. p = -2.222222222 Simplifying p = -2.222222222Solution
p = {0, -2.222222222}
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