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Simplifying p2 + -4p + -15 = 6 Reorder the terms: -15 + -4p + p2 = 6 Solving -15 + -4p + p2 = 6 Solving for variable 'p'. Reorder the terms: -15 + -6 + -4p + p2 = 6 + -6 Combine like terms: -15 + -6 = -21 -21 + -4p + p2 = 6 + -6 Combine like terms: 6 + -6 = 0 -21 + -4p + p2 = 0 Factor a trinomial. (-3 + -1p)(7 + -1p) = 0Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve: Simplifying -3 + -1p = 0 Solving -3 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = 0 + 3 -1p = 0 + 3 Combine like terms: 0 + 3 = 3 -1p = 3 Divide each side by '-1'. p = -3 Simplifying p = -3Subproblem 2
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 = 7Solution
p = {-3, 7}
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