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Simplifying p8 + -6561 = 0 Reorder the terms: -6561 + p8 = 0 Solving -6561 + p8 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6561' to each side of the equation. -6561 + 6561 + p8 = 0 + 6561 Combine like terms: -6561 + 6561 = 0 0 + p8 = 0 + 6561 p8 = 0 + 6561 Combine like terms: 0 + 6561 = 6561 p8 = 6561 Simplifying p8 = 6561 Reorder the terms: -6561 + p8 = 6561 + -6561 Combine like terms: 6561 + -6561 = 0 -6561 + p8 = 0 Factor a difference between two squares. (81 + p4)(-81 + p4) = 0 Factor a difference between two squares. (81 + p4)((9 + p2)(-9 + p2)) = 0 Factor a difference between two squares. (81 + p4)((9 + p2)((3 + p)(-3 + p))) = 0Subproblem 1
Set the factor '(81 + p4)' equal to zero and attempt to solve: Simplifying 81 + p4 = 0 Solving 81 + p4 = 0 Move all terms containing p to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + p4 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + p4 = 0 + -81 p4 = 0 + -81 Combine like terms: 0 + -81 = -81 p4 = -81 Simplifying p4 = -81 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(9 + p2)' equal to zero and attempt to solve: Simplifying 9 + p2 = 0 Solving 9 + p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + p2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + p2 = 0 + -9 p2 = 0 + -9 Combine like terms: 0 + -9 = -9 p2 = -9 Simplifying p2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Subproblem 4
Set the factor '(-3 + p)' equal to zero and attempt to solve: Simplifying -3 + p = 0 Solving -3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + p = 0 + 3 p = 0 + 3 Combine like terms: 0 + 3 = 3 p = 3 Simplifying p = 3Solution
p = {-3, 3}
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