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Simplifying 5a2(3a3 + 12) = 0 Reorder the terms: 5a2(12 + 3a3) = 0 (12 * 5a2 + 3a3 * 5a2) = 0 (60a2 + 15a5) = 0 Solving 60a2 + 15a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '15a2'. 15a2(4 + a3) = 0 Ignore the factor 15.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 + a3)' equal to zero and attempt to solve: Simplifying 4 + a3 = 0 Solving 4 + a3 = 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 + a3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a3 = 0 + -4 a3 = 0 + -4 Combine like terms: 0 + -4 = -4 a3 = -4 Simplifying a3 = -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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