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Simplifying -1p2 + -10p + 5600 = 4400 Reorder the terms: 5600 + -10p + -1p2 = 4400 Solving 5600 + -10p + -1p2 = 4400 Solving for variable 'p'. Reorder the terms: 5600 + -4400 + -10p + -1p2 = 4400 + -4400 Combine like terms: 5600 + -4400 = 1200 1200 + -10p + -1p2 = 4400 + -4400 Combine like terms: 4400 + -4400 = 0 1200 + -10p + -1p2 = 0 Factor a trinomial. (30 + -1p)(40 + p) = 0Subproblem 1
Set the factor '(30 + -1p)' equal to zero and attempt to solve: Simplifying 30 + -1p = 0 Solving 30 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1p = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1p = 0 + -30 -1p = 0 + -30 Combine like terms: 0 + -30 = -30 -1p = -30 Divide each side by '-1'. p = 30 Simplifying p = 30Subproblem 2
Set the factor '(40 + p)' equal to zero and attempt to solve: Simplifying 40 + p = 0 Solving 40 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + p = 0 + -40 Combine like terms: 40 + -40 = 0 0 + p = 0 + -40 p = 0 + -40 Combine like terms: 0 + -40 = -40 p = -40 Simplifying p = -40Solution
p = {30, -40}
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