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Simplifying 5p4 + 6p2 + -8 = 0 Reorder the terms: -8 + 6p2 + 5p4 = 0 Solving -8 + 6p2 + 5p4 = 0 Solving for variable 'p'. Factor a trinomial. (-2 + -1p2)(4 + -5p2) = 0Subproblem 1
Set the factor '(-2 + -1p2)' equal to zero and attempt to solve: Simplifying -2 + -1p2 = 0 Solving -2 + -1p2 = 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 + -1p2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1p2 = 0 + 2 -1p2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1p2 = 2 Divide each side by '-1'. p2 = -2 Simplifying p2 = -2 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 '(4 + -5p2)' equal to zero and attempt to solve: Simplifying 4 + -5p2 = 0 Solving 4 + -5p2 = 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 + -5p2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5p2 = 0 + -4 -5p2 = 0 + -4 Combine like terms: 0 + -4 = -4 -5p2 = -4 Divide each side by '-5'. p2 = 0.8 Simplifying p2 = 0.8 Take the square root of each side: p = {-0.894427191, 0.894427191}Solution
p = {-0.894427191, 0.894427191}
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