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Simplifying 78p2 + -50p = 0 Reorder the terms: -50p + 78p2 = 0 Solving -50p + 78p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(-25 + 39p) = 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 '(-25 + 39p)' equal to zero and attempt to solve: Simplifying -25 + 39p = 0 Solving -25 + 39p = 0 Move all terms containing p to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 39p = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 39p = 0 + 25 39p = 0 + 25 Combine like terms: 0 + 25 = 25 39p = 25 Divide each side by '39'. p = 0.641025641 Simplifying p = 0.641025641Solution
p = {0, 0.641025641}
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