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Simplifying 16p4 + 8p2 + 1 = 0 Reorder the terms: 1 + 8p2 + 16p4 = 0 Solving 1 + 8p2 + 16p4 = 0 Solving for variable 'p'. Factor a trinomial. (1 + 4p2)(1 + 4p2) = 0Subproblem 1
Set the factor '(1 + 4p2)' equal to zero and attempt to solve: Simplifying 1 + 4p2 = 0 Solving 1 + 4p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4p2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4p2 = 0 + -1 4p2 = 0 + -1 Combine like terms: 0 + -1 = -1 4p2 = -1 Divide each side by '4'. p2 = -0.25 Simplifying p2 = -0.25 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 '(1 + 4p2)' equal to zero and attempt to solve: Simplifying 1 + 4p2 = 0 Solving 1 + 4p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4p2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4p2 = 0 + -1 4p2 = 0 + -1 Combine like terms: 0 + -1 = -1 4p2 = -1 Divide each side by '4'. p2 = -0.25 Simplifying p2 = -0.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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