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Simplifying 0 = -750p2 + 15000p Reorder the terms: 0 = 15000p + -750p2 Solving 0 = 15000p + -750p2 Solving for variable 'p'. Remove the zero: -15000p + 750p2 = 15000p + -750p2 + -15000p + 750p2 Reorder the terms: -15000p + 750p2 = 15000p + -15000p + -750p2 + 750p2 Combine like terms: 15000p + -15000p = 0 -15000p + 750p2 = 0 + -750p2 + 750p2 -15000p + 750p2 = -750p2 + 750p2 Combine like terms: -750p2 + 750p2 = 0 -15000p + 750p2 = 0 Factor out the Greatest Common Factor (GCF), '750p'. 750p(-20 + p) = 0 Ignore the factor 750.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 '(-20 + p)' equal to zero and attempt to solve: Simplifying -20 + p = 0 Solving -20 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + p = 0 + 20 Combine like terms: -20 + 20 = 0 0 + p = 0 + 20 p = 0 + 20 Combine like terms: 0 + 20 = 20 p = 20 Simplifying p = 20Solution
p = {0, 20}
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