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Simplifying -40p2 + 1100p = 0 Reorder the terms: 1100p + -40p2 = 0 Solving 1100p + -40p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '20p'. 20p(55 + -2p) = 0 Ignore the factor 20.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 '(55 + -2p)' equal to zero and attempt to solve: Simplifying 55 + -2p = 0 Solving 55 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -2p = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -2p = 0 + -55 -2p = 0 + -55 Combine like terms: 0 + -55 = -55 -2p = -55 Divide each side by '-2'. p = 27.5 Simplifying p = 27.5Solution
p = {0, 27.5}
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