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Simplifying p2 + -1p = 210 Reorder the terms: -1p + p2 = 210 Solving -1p + p2 = 210 Solving for variable 'p'. Reorder the terms: -210 + -1p + p2 = 210 + -210 Combine like terms: 210 + -210 = 0 -210 + -1p + p2 = 0 Factor a trinomial. (-14 + -1p)(15 + -1p) = 0Subproblem 1
Set the factor '(-14 + -1p)' equal to zero and attempt to solve: Simplifying -14 + -1p = 0 Solving -14 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1p = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1p = 0 + 14 -1p = 0 + 14 Combine like terms: 0 + 14 = 14 -1p = 14 Divide each side by '-1'. p = -14 Simplifying p = -14Subproblem 2
Set the factor '(15 + -1p)' equal to zero and attempt to solve: Simplifying 15 + -1p = 0 Solving 15 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1p = 0 + -15 -1p = 0 + -15 Combine like terms: 0 + -15 = -15 -1p = -15 Divide each side by '-1'. p = 15 Simplifying p = 15Solution
p = {-14, 15}
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