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Simplifying -5p(p + 9) = 0 Reorder the terms: -5p(9 + p) = 0 (9 * -5p + p * -5p) = 0 (-45p + -5p2) = 0 Solving -45p + -5p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-5p'. -5p(9 + p) = 0 Ignore the factor -5.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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