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Simplifying p2 + 25p + 156 = 0 Reorder the terms: 156 + 25p + p2 = 0 Solving 156 + 25p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (13 + p)(12 + p) = 0Subproblem 1
Set the factor '(13 + p)' equal to zero and attempt to solve: Simplifying 13 + p = 0 Solving 13 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + p = 0 + -13 p = 0 + -13 Combine like terms: 0 + -13 = -13 p = -13 Simplifying p = -13Subproblem 2
Set the factor '(12 + p)' equal to zero and attempt to solve: Simplifying 12 + p = 0 Solving 12 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + p = 0 + -12 Combine like terms: 12 + -12 = 0 0 + p = 0 + -12 p = 0 + -12 Combine like terms: 0 + -12 = -12 p = -12 Simplifying p = -12Solution
p = {-13, -12}
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