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Simplifying (a4) + 6(a2) + 8 = 0 a4 + 6(a2) + 8 = 0 Reorder the terms: 8 + 6a2 + a4 = 0 Solving 8 + 6a2 + a4 = 0 Solving for variable 'a'. Factor a trinomial. (4 + a2)(2 + a2) = 0Subproblem 1
Set the factor '(4 + a2)' equal to zero and attempt to solve: Simplifying 4 + a2 = 0 Solving 4 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a2 = 0 + -4 a2 = 0 + -4 Combine like terms: 0 + -4 = -4 a2 = -4 Simplifying a2 = -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 + a2)' equal to zero and attempt to solve: Simplifying 2 + a2 = 0 Solving 2 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a2 = 0 + -2 a2 = 0 + -2 Combine like terms: 0 + -2 = -2 a2 = -2 Simplifying a2 = -2 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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