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Simplifying 125p2 + -200p + 80 = 0 Reorder the terms: 80 + -200p + 125p2 = 0 Solving 80 + -200p + 125p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5'. 5(16 + -40p + 25p2) = 0 Factor a trinomial. 5((4 + -5p)(4 + -5p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + -5p)' equal to zero and attempt to solve: Simplifying 4 + -5p = 0 Solving 4 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5p = 0 + -4 -5p = 0 + -4 Combine like terms: 0 + -4 = -4 -5p = -4 Divide each side by '-5'. p = 0.8 Simplifying p = 0.8Subproblem 2
Set the factor '(4 + -5p)' equal to zero and attempt to solve: Simplifying 4 + -5p = 0 Solving 4 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5p = 0 + -4 -5p = 0 + -4 Combine like terms: 0 + -4 = -4 -5p = -4 Divide each side by '-5'. p = 0.8 Simplifying p = 0.8Solution
p = {0.8, 0.8}
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