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Simplifying a4 + 13a2 + 40 = 0 Reorder the terms: 40 + 13a2 + a4 = 0 Solving 40 + 13a2 + a4 = 0 Solving for variable 'a'. Factor a trinomial. (8 + a2)(5 + a2) = 0Subproblem 1
Set the factor '(8 + a2)' equal to zero and attempt to solve: Simplifying 8 + a2 = 0 Solving 8 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + a2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + a2 = 0 + -8 a2 = 0 + -8 Combine like terms: 0 + -8 = -8 a2 = -8 Simplifying a2 = -8 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 '(5 + a2)' equal to zero and attempt to solve: Simplifying 5 + a2 = 0 Solving 5 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a2 = 0 + -5 a2 = 0 + -5 Combine like terms: 0 + -5 = -5 a2 = -5 Simplifying a2 = -5 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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