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Simplifying 12p2 = 108p Solving 12p2 = 108p Solving for variable 'p'. Reorder the terms: -108p + 12p2 = 108p + -108p Combine like terms: 108p + -108p = 0 -108p + 12p2 = 0 Factor out the Greatest Common Factor (GCF), '12p'. 12p(-9 + p) = 0 Ignore the factor 12.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 '(-9 + p)' equal to zero and attempt to solve: Simplifying -9 + p = 0 Solving -9 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + p = 0 + 9 p = 0 + 9 Combine like terms: 0 + 9 = 9 p = 9 Simplifying p = 9Solution
p = {0, 9}
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