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Simplifying 6p(3 + 9p) = 0 (3 * 6p + 9p * 6p) = 0 (18p + 54p2) = 0 Solving 18p + 54p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '18p'. 18p(1 + 3p) = 0 Ignore the factor 18.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 '(1 + 3p)' equal to zero and attempt to solve: Simplifying 1 + 3p = 0 Solving 1 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3p = 0 + -1 3p = 0 + -1 Combine like terms: 0 + -1 = -1 3p = -1 Divide each side by '3'. p = -0.3333333333 Simplifying p = -0.3333333333Solution
p = {0, -0.3333333333}
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