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Simplifying 40(p2 + -1) = 39p Reorder the terms: 40(-1 + p2) = 39p (-1 * 40 + p2 * 40) = 39p (-40 + 40p2) = 39p Solving -40 + 40p2 = 39p Solving for variable 'p'. Reorder the terms: -40 + -39p + 40p2 = 39p + -39p Combine like terms: 39p + -39p = 0 -40 + -39p + 40p2 = 0 Factor a trinomial. (-5 + -8p)(8 + -5p) = 0Subproblem 1
Set the factor '(-5 + -8p)' equal to zero and attempt to solve: Simplifying -5 + -8p = 0 Solving -5 + -8p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8p = 0 + 5 -8p = 0 + 5 Combine like terms: 0 + 5 = 5 -8p = 5 Divide each side by '-8'. p = -0.625 Simplifying p = -0.625Subproblem 2
Set the factor '(8 + -5p)' equal to zero and attempt to solve: Simplifying 8 + -5p = 0 Solving 8 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5p = 0 + -8 -5p = 0 + -8 Combine like terms: 0 + -8 = -8 -5p = -8 Divide each side by '-5'. p = 1.6 Simplifying p = 1.6Solution
p = {-0.625, 1.6}
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