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Simplifying -3p2 + 12p2 + 135p = 0 Reorder the terms: 135p + -3p2 + 12p2 = 0 Combine like terms: -3p2 + 12p2 = 9p2 135p + 9p2 = 0 Solving 135p + 9p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '9p'. 9p(15 + p) = 0 Ignore the factor 9.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 '(15 + p)' equal to zero and attempt to solve: Simplifying 15 + p = 0 Solving 15 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + p = 0 + -15 p = 0 + -15 Combine like terms: 0 + -15 = -15 p = -15 Simplifying p = -15Solution
p = {0, -15}
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