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Simplifying 3p(3p + -1) = 0 Reorder the terms: 3p(-1 + 3p) = 0 (-1 * 3p + 3p * 3p) = 0 (-3p + 9p2) = 0 Solving -3p + 9p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(-1 + 3p) = 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 '(-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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