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Simplifying (120000) * p = -3p2 + 1200p Reorder the terms: 120000p = 1200p + -3p2 Solving 120000p = 1200p + -3p2 Solving for variable 'p'. Combine like terms: 120000p + -1200p = 118800p 118800p + 3p2 = 1200p + -3p2 + -1200p + 3p2 Reorder the terms: 118800p + 3p2 = 1200p + -1200p + -3p2 + 3p2 Combine like terms: 1200p + -1200p = 0 118800p + 3p2 = 0 + -3p2 + 3p2 118800p + 3p2 = -3p2 + 3p2 Combine like terms: -3p2 + 3p2 = 0 118800p + 3p2 = 0 Factor out the Greatest Common Factor (GCF), '3p'. 3p(39600 + p) = 0 Ignore the factor 3.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 '(39600 + p)' equal to zero and attempt to solve: Simplifying 39600 + p = 0 Solving 39600 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-39600' to each side of the equation. 39600 + -39600 + p = 0 + -39600 Combine like terms: 39600 + -39600 = 0 0 + p = 0 + -39600 p = 0 + -39600 Combine like terms: 0 + -39600 = -39600 p = -39600 Simplifying p = -39600Solution
p = {0, -39600}
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