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Simplifying 2a2(6a3 + -16) = 0 Reorder the terms: 2a2(-16 + 6a3) = 0 (-16 * 2a2 + 6a3 * 2a2) = 0 (-32a2 + 12a5) = 0 Solving -32a2 + 12a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a2'. 4a2(-8 + 3a3) = 0 Ignore the factor 4.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 '(-8 + 3a3)' equal to zero and attempt to solve: Simplifying -8 + 3a3 = 0 Solving -8 + 3a3 = 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 + 3a3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3a3 = 0 + 8 3a3 = 0 + 8 Combine like terms: 0 + 8 = 8 3a3 = 8 Divide each side by '3'. a3 = 2.666666667 Simplifying a3 = 2.666666667 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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