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Simplifying 3a6(6a2 + 2a) = 0 Reorder the terms: 3a6(2a + 6a2) = 0 (2a * 3a6 + 6a2 * 3a6) = 0 (6a7 + 18a8) = 0 Solving 6a7 + 18a8 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a7'. 6a7(1 + 3a) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a7' equal to zero and attempt to solve: Simplifying a7 = 0 Solving a7 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a7 = 0 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 '(1 + 3a)' equal to zero and attempt to solve: Simplifying 1 + 3a = 0 Solving 1 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a = 0 + -1 3a = 0 + -1 Combine like terms: 0 + -1 = -1 3a = -1 Divide each side by '3'. a = -0.3333333333 Simplifying a = -0.3333333333Solution
a = {-0.3333333333}
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