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Simplifying 5000(p) = -2p2 + 200p Reorder the terms: 5000p = 200p + -2p2 Solving 5000p = 200p + -2p2 Solving for variable 'p'. Combine like terms: 5000p + -200p = 4800p 4800p + 2p2 = 200p + -2p2 + -200p + 2p2 Reorder the terms: 4800p + 2p2 = 200p + -200p + -2p2 + 2p2 Combine like terms: 200p + -200p = 0 4800p + 2p2 = 0 + -2p2 + 2p2 4800p + 2p2 = -2p2 + 2p2 Combine like terms: -2p2 + 2p2 = 0 4800p + 2p2 = 0 Factor out the Greatest Common Factor (GCF), '2p'. 2p(2400 + p) = 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 '(2400 + p)' equal to zero and attempt to solve: Simplifying 2400 + p = 0 Solving 2400 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2400' to each side of the equation. 2400 + -2400 + p = 0 + -2400 Combine like terms: 2400 + -2400 = 0 0 + p = 0 + -2400 p = 0 + -2400 Combine like terms: 0 + -2400 = -2400 p = -2400 Simplifying p = -2400Solution
p = {0, -2400}
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