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Simplifying 8p2 + 18p = 0 Reorder the terms: 18p + 8p2 = 0 Solving 18p + 8p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(9 + 4p) = 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 '(9 + 4p)' equal to zero and attempt to solve: Simplifying 9 + 4p = 0 Solving 9 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4p = 0 + -9 4p = 0 + -9 Combine like terms: 0 + -9 = -9 4p = -9 Divide each side by '4'. p = -2.25 Simplifying p = -2.25Solution
p = {0, -2.25}
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