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Simplifying 25a4 + 40a2 + 16 = 0 Reorder the terms: 16 + 40a2 + 25a4 = 0 Solving 16 + 40a2 + 25a4 = 0 Solving for variable 'a'. Factor a trinomial. (4 + 5a2)(4 + 5a2) = 0Subproblem 1
Set the factor '(4 + 5a2)' equal to zero and attempt to solve: Simplifying 4 + 5a2 = 0 Solving 4 + 5a2 = 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 + 5a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5a2 = 0 + -4 5a2 = 0 + -4 Combine like terms: 0 + -4 = -4 5a2 = -4 Divide each side by '5'. a2 = -0.8 Simplifying a2 = -0.8 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 '(4 + 5a2)' equal to zero and attempt to solve: Simplifying 4 + 5a2 = 0 Solving 4 + 5a2 = 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 + 5a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5a2 = 0 + -4 5a2 = 0 + -4 Combine like terms: 0 + -4 = -4 5a2 = -4 Divide each side by '5'. a2 = -0.8 Simplifying a2 = -0.8 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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