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Simplifying p2 = -64 + -16p Solving p2 = -64 + -16p Solving for variable 'p'. Reorder the terms: 64 + 16p + p2 = -64 + -16p + 64 + 16p Reorder the terms: 64 + 16p + p2 = -64 + 64 + -16p + 16p Combine like terms: -64 + 64 = 0 64 + 16p + p2 = 0 + -16p + 16p 64 + 16p + p2 = -16p + 16p Combine like terms: -16p + 16p = 0 64 + 16p + p2 = 0 Factor a trinomial. (8 + p)(8 + p) = 0Subproblem 1
Set the factor '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8Subproblem 2
Set the factor '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8Solution
p = {-8, -8}
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