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Simplifying 6p(p + 3) = 0 Reorder the terms: 6p(3 + p) = 0 (3 * 6p + p * 6p) = 0 (18p + 6p2) = 0 Solving 18p + 6p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '6p'. 6p(3 + p) = 0 Ignore the factor 6.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 '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Solution
p = {0, -3}
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