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Simplifying -1a2(9a2 + 4) + 8a4 = 0 Reorder the terms: -1a2(4 + 9a2) + 8a4 = 0 (4 * -1a2 + 9a2 * -1a2) + 8a4 = 0 (-4a2 + -9a4) + 8a4 = 0 Combine like terms: -9a4 + 8a4 = -1a4 -4a2 + -1a4 = 0 Solving -4a2 + -1a4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1a2'. -1a2(4 + a2) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
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.Solution
a = {0}
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