12000=1180p-9p^2

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Solution for 12000=1180p-9p^2 equation:


Simplifying
12000 = 1180p + -9p2

Solving
12000 = 1180p + -9p2

Solving for variable 'p'.

Reorder the terms:
12000 + -1180p + 9p2 = 1180p + -1180p + -9p2 + 9p2

Combine like terms: 1180p + -1180p = 0
12000 + -1180p + 9p2 = 0 + -9p2 + 9p2
12000 + -1180p + 9p2 = -9p2 + 9p2

Combine like terms: -9p2 + 9p2 = 0
12000 + -1180p + 9p2 = 0

Factor a trinomial.
(100 + -9p)(120 + -1p) = 0

Subproblem 1

Set the factor '(100 + -9p)' equal to zero and attempt to solve: Simplifying 100 + -9p = 0 Solving 100 + -9p = 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 + -9p = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -9p = 0 + -100 -9p = 0 + -100 Combine like terms: 0 + -100 = -100 -9p = -100 Divide each side by '-9'. p = 11.11111111 Simplifying p = 11.11111111

Subproblem 2

Set the factor '(120 + -1p)' equal to zero and attempt to solve: Simplifying 120 + -1p = 0 Solving 120 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -1p = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -1p = 0 + -120 -1p = 0 + -120 Combine like terms: 0 + -120 = -120 -1p = -120 Divide each side by '-1'. p = 120 Simplifying p = 120

Solution

p = {11.11111111, 120}

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