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