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Simplifying (8a2)(2a3 + -6) = 0 Remove parenthesis around (8a2) 8a2(2a3 + -6) = 0 Reorder the terms: 8a2(-6 + 2a3) = 0 (-6 * 8a2 + 2a3 * 8a2) = 0 (-48a2 + 16a5) = 0 Solving -48a2 + 16a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '16a2'. 16a2(-3 + a3) = 0 Ignore the factor 16.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 '(-3 + a3)' equal to zero and attempt to solve: Simplifying -3 + a3 = 0 Solving -3 + a3 = 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 + a3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + a3 = 0 + 3 a3 = 0 + 3 Combine like terms: 0 + 3 = 3 a3 = 3 Simplifying a3 = 3 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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