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Simplifying 8p2 + 11p + -84 = 0 Reorder the terms: -84 + 11p + 8p2 = 0 Solving -84 + 11p + 8p2 = 0 Solving for variable 'p'. Factor a trinomial. (-4 + -1p)(21 + -8p) = 0Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve: Simplifying -4 + -1p = 0 Solving -4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 0 + 4 -1p = 0 + 4 Combine like terms: 0 + 4 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4Subproblem 2
Set the factor '(21 + -8p)' equal to zero and attempt to solve: Simplifying 21 + -8p = 0 Solving 21 + -8p = 0 Move all terms containing p to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -8p = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -8p = 0 + -21 -8p = 0 + -21 Combine like terms: 0 + -21 = -21 -8p = -21 Divide each side by '-8'. p = 2.625 Simplifying p = 2.625Solution
p = {-4, 2.625}
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