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Simplifying -1p2 + 8p + -12 = 0 Reorder the terms: -12 + 8p + -1p2 = 0 Solving -12 + 8p + -1p2 = 0 Solving for variable 'p'. Factor a trinomial. (-6 + p)(2 + -1p) = 0Subproblem 1
Set the factor '(-6 + p)' equal to zero and attempt to solve: Simplifying -6 + p = 0 Solving -6 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + p = 0 + 6 p = 0 + 6 Combine like terms: 0 + 6 = 6 p = 6 Simplifying p = 6Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {6, 2}
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