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Simplifying n4 + 8n2 + 15 = 0 Reorder the terms: 15 + 8n2 + n4 = 0 Solving 15 + 8n2 + n4 = 0 Solving for variable 'n'. Factor a trinomial. (5 + n2)(3 + n2) = 0Subproblem 1
Set the factor '(5 + n2)' equal to zero and attempt to solve: Simplifying 5 + n2 = 0 Solving 5 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + n2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n2 = 0 + -5 n2 = 0 + -5 Combine like terms: 0 + -5 = -5 n2 = -5 Simplifying n2 = -5 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 '(3 + n2)' equal to zero and attempt to solve: Simplifying 3 + n2 = 0 Solving 3 + n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n2 = 0 + -3 n2 = 0 + -3 Combine like terms: 0 + -3 = -3 n2 = -3 Simplifying n2 = -3 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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