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Simplifying p4 + -7p2 + -8 = 0 Reorder the terms: -8 + -7p2 + p4 = 0 Solving -8 + -7p2 + p4 = 0 Solving for variable 'p'. Factor a trinomial. (-1 + -1p2)(8 + -1p2) = 0Subproblem 1
Set the factor '(-1 + -1p2)' equal to zero and attempt to solve: Simplifying -1 + -1p2 = 0 Solving -1 + -1p2 = 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 + -1p2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1p2 = 0 + 1 -1p2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1p2 = 1 Divide each side by '-1'. p2 = -1 Simplifying p2 = -1 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 '(8 + -1p2)' equal to zero and attempt to solve: Simplifying 8 + -1p2 = 0 Solving 8 + -1p2 = 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 + -1p2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p2 = 0 + -8 -1p2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1p2 = -8 Divide each side by '-1'. p2 = 8 Simplifying p2 = 8 Take the square root of each side: p = {-2.828427125, 2.828427125}Solution
p = {-2.828427125, 2.828427125}
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