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Simplifying 4a4 + 36a2 + 72 = 0 Reorder the terms: 72 + 36a2 + 4a4 = 0 Solving 72 + 36a2 + 4a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(18 + 9a2 + a4) = 0 Factor a trinomial. 4((6 + a2)(3 + a2)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(6 + a2)' equal to zero and attempt to solve: Simplifying 6 + a2 = 0 Solving 6 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + a2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + a2 = 0 + -6 a2 = 0 + -6 Combine like terms: 0 + -6 = -6 a2 = -6 Simplifying a2 = -6 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 + a2)' equal to zero and attempt to solve: Simplifying 3 + a2 = 0 Solving 3 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a2 = 0 + -3 a2 = 0 + -3 Combine like terms: 0 + -3 = -3 a2 = -3 Simplifying a2 = -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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