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Simplifying 0 = 4p(p + 9) Reorder the terms: 0 = 4p(9 + p) 0 = (9 * 4p + p * 4p) 0 = (36p + 4p2) Solving 0 = 36p + 4p2 Solving for variable 'p'. Remove the zero: -36p + -4p2 = 36p + 4p2 + -36p + -4p2 Reorder the terms: -36p + -4p2 = 36p + -36p + 4p2 + -4p2 Combine like terms: 36p + -36p = 0 -36p + -4p2 = 0 + 4p2 + -4p2 -36p + -4p2 = 4p2 + -4p2 Combine like terms: 4p2 + -4p2 = 0 -36p + -4p2 = 0 Factor out the Greatest Common Factor (GCF), '-4p'. -4p(9 + p) = 0 Ignore the factor -4.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 + p)' equal to zero and attempt to solve: Simplifying 9 + p = 0 Solving 9 + p = 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 + p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + p = 0 + -9 p = 0 + -9 Combine like terms: 0 + -9 = -9 p = -9 Simplifying p = -9Solution
p = {0, -9}
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