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Simplifying -91 = -1p2 + 6p Reorder the terms: -91 = 6p + -1p2 Solving -91 = 6p + -1p2 Solving for variable 'p'. Reorder the terms: -91 + -6p + p2 = 6p + -6p + -1p2 + p2 Combine like terms: 6p + -6p = 0 -91 + -6p + p2 = 0 + -1p2 + p2 -91 + -6p + p2 = -1p2 + p2 Combine like terms: -1p2 + p2 = 0 -91 + -6p + p2 = 0 Factor a trinomial. (-7 + -1p)(13 + -1p) = 0Subproblem 1
Set the factor '(-7 + -1p)' equal to zero and attempt to solve: Simplifying -7 + -1p = 0 Solving -7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1p = 0 + 7 -1p = 0 + 7 Combine like terms: 0 + 7 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7Subproblem 2
Set the factor '(13 + -1p)' equal to zero and attempt to solve: Simplifying 13 + -1p = 0 Solving 13 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1p = 0 + -13 -1p = 0 + -13 Combine like terms: 0 + -13 = -13 -1p = -13 Divide each side by '-1'. p = 13 Simplifying p = 13Solution
p = {-7, 13}
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