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Simplifying p2 + 29p + 100 = 0 Reorder the terms: 100 + 29p + p2 = 0 Solving 100 + 29p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (25 + p)(4 + p) = 0Subproblem 1
Set the factor '(25 + p)' equal to zero and attempt to solve: Simplifying 25 + p = 0 Solving 25 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + p = 0 + -25 Combine like terms: 25 + -25 = 0 0 + p = 0 + -25 p = 0 + -25 Combine like terms: 0 + -25 = -25 p = -25 Simplifying p = -25Subproblem 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 = {-25, -4}
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