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Simplifying O(2p) = 16p Remove parenthesis around (2p) O * 2p = 16p Reorder the terms for easier multiplication: 2O * p = 16p Multiply O * p 2pO = 16p Solving 2pO = 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -16p + 2pO = 16p + -16p Combine like terms: 16p + -16p = 0 -16p + 2pO = 0 Factor out the Greatest Common Factor (GCF), '2p'. 2p(-8 + O) = 0 Ignore the factor 2.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 '(-8 + O)' equal to zero and attempt to solve: Simplifying -8 + O = 0 Solving -8 + O = 0 Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + O = 0 + 8 Combine like terms: -8 + 8 = 0 0 + O = 0 + 8 O = 0 + 8 Combine like terms: 0 + 8 = 8 O = 8 Add '-1O' to each side of the equation. O + -1O = 8 + -1O Combine like terms: O + -1O = 0 0 = 8 + -1O Simplifying 0 = 8 + -1O The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
p = {0}
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