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Simplifying (8p + 7)(p + 8) = 0 Reorder the terms: (7 + 8p)(p + 8) = 0 Reorder the terms: (7 + 8p)(8 + p) = 0 Multiply (7 + 8p) * (8 + p) (7(8 + p) + 8p * (8 + p)) = 0 ((8 * 7 + p * 7) + 8p * (8 + p)) = 0 ((56 + 7p) + 8p * (8 + p)) = 0 (56 + 7p + (8 * 8p + p * 8p)) = 0 (56 + 7p + (64p + 8p2)) = 0 Combine like terms: 7p + 64p = 71p (56 + 71p + 8p2) = 0 Solving 56 + 71p + 8p2 = 0 Solving for variable 'p'. Factor a trinomial. (8 + p)(7 + 8p) = 0Subproblem 1
Set the factor '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 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 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8Subproblem 2
Set the factor '(7 + 8p)' equal to zero and attempt to solve: Simplifying 7 + 8p = 0 Solving 7 + 8p = 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 + 8p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8p = 0 + -7 8p = 0 + -7 Combine like terms: 0 + -7 = -7 8p = -7 Divide each side by '8'. p = -0.875 Simplifying p = -0.875Solution
p = {-8, -0.875}
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