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Simplifying -1p2 + 16p + -15 = 0 Reorder the terms: -15 + 16p + -1p2 = 0 Solving -15 + 16p + -1p2 = 0 Solving for variable 'p'. Factor a trinomial. (-15 + p)(1 + -1p) = 0Subproblem 1
Set the factor '(-15 + p)' equal to zero and attempt to solve: Simplifying -15 + p = 0 Solving -15 + p = 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 + p = 0 + 15 Combine like terms: -15 + 15 = 0 0 + p = 0 + 15 p = 0 + 15 Combine like terms: 0 + 15 = 15 p = 15 Simplifying p = 15Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Solution
p = {15, 1}
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