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Simplifying (p + 4)(p + 7) = 0 Reorder the terms: (4 + p)(p + 7) = 0 Reorder the terms: (4 + p)(7 + p) = 0 Multiply (4 + p) * (7 + p) (4(7 + p) + p(7 + p)) = 0 ((7 * 4 + p * 4) + p(7 + p)) = 0 ((28 + 4p) + p(7 + p)) = 0 (28 + 4p + (7 * p + p * p)) = 0 (28 + 4p + (7p + p2)) = 0 Combine like terms: 4p + 7p = 11p (28 + 11p + p2) = 0 Solving 28 + 11p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (7 + p)(4 + p) = 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 '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Solution
p = {-7, -4}
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