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Simplifying 7p2 = 2p Solving 7p2 = 2p Solving for variable 'p'. Reorder the terms: -2p + 7p2 = 2p + -2p Combine like terms: 2p + -2p = 0 -2p + 7p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(-2 + 7p) = 0Subproblem 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 '(-2 + 7p)' equal to zero and attempt to solve: Simplifying -2 + 7p = 0 Solving -2 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7p = 0 + 2 7p = 0 + 2 Combine like terms: 0 + 2 = 2 7p = 2 Divide each side by '7'. p = 0.2857142857 Simplifying p = 0.2857142857Solution
p = {0, 0.2857142857}
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