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Simplifying 12p4 + -192 = 0 Reorder the terms: -192 + 12p4 = 0 Solving -192 + 12p4 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '192' to each side of the equation. -192 + 192 + 12p4 = 0 + 192 Combine like terms: -192 + 192 = 0 0 + 12p4 = 0 + 192 12p4 = 0 + 192 Combine like terms: 0 + 192 = 192 12p4 = 192 Divide each side by '12'. p4 = 16 Simplifying p4 = 16 Reorder the terms: -16 + p4 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + p4 = 0 Factor a difference between two squares. (4 + p2)(-4 + p2) = 0 Factor a difference between two squares. (4 + p2)((2 + p)(-2 + p)) = 0Subproblem 1
Set the factor '(4 + p2)' equal to zero and attempt to solve: Simplifying 4 + p2 = 0 Solving 4 + p2 = 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 + p2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p2 = 0 + -4 p2 = 0 + -4 Combine like terms: 0 + -4 = -4 p2 = -4 Simplifying p2 = -4 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 '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Subproblem 3
Set the factor '(-2 + p)' equal to zero and attempt to solve: Simplifying -2 + p = 0 Solving -2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + p = 0 + 2 p = 0 + 2 Combine like terms: 0 + 2 = 2 p = 2 Simplifying p = 2Solution
p = {-2, 2}
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