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Simplifying 0 = -5p2 + 10000p Reorder the terms: 0 = 10000p + -5p2 Solving 0 = 10000p + -5p2 Solving for variable 'p'. Remove the zero: -10000p + 5p2 = 10000p + -5p2 + -10000p + 5p2 Reorder the terms: -10000p + 5p2 = 10000p + -10000p + -5p2 + 5p2 Combine like terms: 10000p + -10000p = 0 -10000p + 5p2 = 0 + -5p2 + 5p2 -10000p + 5p2 = -5p2 + 5p2 Combine like terms: -5p2 + 5p2 = 0 -10000p + 5p2 = 0 Factor out the Greatest Common Factor (GCF), '5p'. 5p(-2000 + p) = 0 Ignore the factor 5.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 '(-2000 + p)' equal to zero and attempt to solve: Simplifying -2000 + p = 0 Solving -2000 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '2000' to each side of the equation. -2000 + 2000 + p = 0 + 2000 Combine like terms: -2000 + 2000 = 0 0 + p = 0 + 2000 p = 0 + 2000 Combine like terms: 0 + 2000 = 2000 p = 2000 Simplifying p = 2000Solution
p = {0, 2000}
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