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Simplifying (7p + 8)(p + 7) = 0 Reorder the terms: (8 + 7p)(p + 7) = 0 Reorder the terms: (8 + 7p)(7 + p) = 0 Multiply (8 + 7p) * (7 + p) (8(7 + p) + 7p * (7 + p)) = 0 ((7 * 8 + p * 8) + 7p * (7 + p)) = 0 ((56 + 8p) + 7p * (7 + p)) = 0 (56 + 8p + (7 * 7p + p * 7p)) = 0 (56 + 8p + (49p + 7p2)) = 0 Combine like terms: 8p + 49p = 57p (56 + 57p + 7p2) = 0 Solving 56 + 57p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (7 + p)(8 + 7p) = 0Subproblem 1
Set the factor '(7 + p)' equal to zero and attempt to solve: Simplifying 7 + p = 0 Solving 7 + p = 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 + p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p = 0 + -7 p = 0 + -7 Combine like terms: 0 + -7 = -7 p = -7 Simplifying p = -7Subproblem 2
Set the factor '(8 + 7p)' equal to zero and attempt to solve: Simplifying 8 + 7p = 0 Solving 8 + 7p = 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 + 7p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7p = 0 + -8 7p = 0 + -8 Combine like terms: 0 + -8 = -8 7p = -8 Divide each side by '7'. p = -1.142857143 Simplifying p = -1.142857143Solution
p = {-7, -1.142857143}
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