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Simplifying 6p2 + -55p = -56 Reorder the terms: -55p + 6p2 = -56 Solving -55p + 6p2 = -56 Solving for variable 'p'. Reorder the terms: 56 + -55p + 6p2 = -56 + 56 Combine like terms: -56 + 56 = 0 56 + -55p + 6p2 = 0 Factor a trinomial. (7 + -6p)(8 + -1p) = 0Subproblem 1
Set the factor '(7 + -6p)' equal to zero and attempt to solve: Simplifying 7 + -6p = 0 Solving 7 + -6p = 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 + -6p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6p = 0 + -7 -6p = 0 + -7 Combine like terms: 0 + -7 = -7 -6p = -7 Divide each side by '-6'. p = 1.166666667 Simplifying p = 1.166666667Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 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 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8Solution
p = {1.166666667, 8}
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