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Simplifying p2 + 24 = -10p Reorder the terms: 24 + p2 = -10p Solving 24 + p2 = -10p Solving for variable 'p'. Reorder the terms: 24 + 10p + p2 = -10p + 10p Combine like terms: -10p + 10p = 0 24 + 10p + p2 = 0 Factor a trinomial. (6 + p)(4 + p) = 0Subproblem 1
Set the factor '(6 + p)' equal to zero and attempt to solve: Simplifying 6 + p = 0 Solving 6 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + p = 0 + -6 p = 0 + -6 Combine like terms: 0 + -6 = -6 p = -6 Simplifying p = -6Subproblem 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 = {-6, -4}
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