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Simplifying 0 = 7p2 + -55p + -8 Reorder the terms: 0 = -8 + -55p + 7p2 Solving 0 = -8 + -55p + 7p2 Solving for variable 'p'. Combine like terms: 0 + 8 = 8 8 + 55p + -7p2 = -8 + -55p + 7p2 + 8 + 55p + -7p2 Reorder the terms: 8 + 55p + -7p2 = -8 + 8 + -55p + 55p + 7p2 + -7p2 Combine like terms: -8 + 8 = 0 8 + 55p + -7p2 = 0 + -55p + 55p + 7p2 + -7p2 8 + 55p + -7p2 = -55p + 55p + 7p2 + -7p2 Combine like terms: -55p + 55p = 0 8 + 55p + -7p2 = 0 + 7p2 + -7p2 8 + 55p + -7p2 = 7p2 + -7p2 Combine like terms: 7p2 + -7p2 = 0 8 + 55p + -7p2 = 0 Factor a trinomial. (8 + -1p)(1 + 7p) = 0Subproblem 1
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 = 8Subproblem 2
Set the factor '(1 + 7p)' equal to zero and attempt to solve: Simplifying 1 + 7p = 0 Solving 1 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7p = 0 + -1 7p = 0 + -1 Combine like terms: 0 + -1 = -1 7p = -1 Divide each side by '7'. p = -0.1428571429 Simplifying p = -0.1428571429Solution
p = {8, -0.1428571429}
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