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Simplifying (5p + 7)(p + 5) = 0 Reorder the terms: (7 + 5p)(p + 5) = 0 Reorder the terms: (7 + 5p)(5 + p) = 0 Multiply (7 + 5p) * (5 + p) (7(5 + p) + 5p * (5 + p)) = 0 ((5 * 7 + p * 7) + 5p * (5 + p)) = 0 ((35 + 7p) + 5p * (5 + p)) = 0 (35 + 7p + (5 * 5p + p * 5p)) = 0 (35 + 7p + (25p + 5p2)) = 0 Combine like terms: 7p + 25p = 32p (35 + 32p + 5p2) = 0 Solving 35 + 32p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (5 + p)(7 + 5p) = 0Subproblem 1
Set the factor '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5Subproblem 2
Set the factor '(7 + 5p)' equal to zero and attempt to solve: Simplifying 7 + 5p = 0 Solving 7 + 5p = 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 + 5p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5p = 0 + -7 5p = 0 + -7 Combine like terms: 0 + -7 = -7 5p = -7 Divide each side by '5'. p = -1.4 Simplifying p = -1.4Solution
p = {-5, -1.4}
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