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Simplifying 3p(p + 2) = 0 Reorder the terms: 3p(2 + p) = 0 (2 * 3p + p * 3p) = 0 (6p + 3p2) = 0 Solving 6p + 3p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(2 + p) = 0 Ignore the factor 3.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 '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Solution
p = {0, -2}
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