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Simplifying 32p2 + -60p + -27 = 0 Reorder the terms: -27 + -60p + 32p2 = 0 Solving -27 + -60p + 32p2 = 0 Solving for variable 'p'. Factor a trinomial. (-3 + -8p)(9 + -4p) = 0Subproblem 1
Set the factor '(-3 + -8p)' equal to zero and attempt to solve: Simplifying -3 + -8p = 0 Solving -3 + -8p = 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 + -8p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8p = 0 + 3 -8p = 0 + 3 Combine like terms: 0 + 3 = 3 -8p = 3 Divide each side by '-8'. p = -0.375 Simplifying p = -0.375Subproblem 2
Set the factor '(9 + -4p)' equal to zero and attempt to solve: Simplifying 9 + -4p = 0 Solving 9 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4p = 0 + -9 -4p = 0 + -9 Combine like terms: 0 + -9 = -9 -4p = -9 Divide each side by '-4'. p = 2.25 Simplifying p = 2.25Solution
p = {-0.375, 2.25}
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