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Simplifying 27p2 + -3p = 0 Reorder the terms: -3p + 27p2 = 0 Solving -3p + 27p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(-1 + 9p) = 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 + 9p)' equal to zero and attempt to solve: Simplifying -1 + 9p = 0 Solving -1 + 9p = 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 + 9p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9p = 0 + 1 9p = 0 + 1 Combine like terms: 0 + 1 = 1 9p = 1 Divide each side by '9'. p = 0.1111111111 Simplifying p = 0.1111111111Solution
p = {0, 0.1111111111}
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