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Simplifying 10000 = 800p + -7p2 Solving 10000 = 800p + -7p2 Solving for variable 'p'. Reorder the terms: 10000 + -800p + 7p2 = 800p + -800p + -7p2 + 7p2 Combine like terms: 800p + -800p = 0 10000 + -800p + 7p2 = 0 + -7p2 + 7p2 10000 + -800p + 7p2 = -7p2 + 7p2 Combine like terms: -7p2 + 7p2 = 0 10000 + -800p + 7p2 = 0 Factor a trinomial. (100 + -7p)(100 + -1p) = 0Subproblem 1
Set the factor '(100 + -7p)' equal to zero and attempt to solve: Simplifying 100 + -7p = 0 Solving 100 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -7p = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -7p = 0 + -100 -7p = 0 + -100 Combine like terms: 0 + -100 = -100 -7p = -100 Divide each side by '-7'. p = 14.28571429 Simplifying p = 14.28571429Subproblem 2
Set the factor '(100 + -1p)' equal to zero and attempt to solve: Simplifying 100 + -1p = 0 Solving 100 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1p = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1p = 0 + -100 -1p = 0 + -100 Combine like terms: 0 + -100 = -100 -1p = -100 Divide each side by '-1'. p = 100 Simplifying p = 100Solution
p = {14.28571429, 100}
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