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Simplifying (3a3 + 6a2) + (9a3 + -2a2) = 0 Reorder the terms: (6a2 + 3a3) + (9a3 + -2a2) = 0 Remove parenthesis around (6a2 + 3a3) 6a2 + 3a3 + (9a3 + -2a2) = 0 Reorder the terms: 6a2 + 3a3 + (-2a2 + 9a3) = 0 Remove parenthesis around (-2a2 + 9a3) 6a2 + 3a3 + -2a2 + 9a3 = 0 Reorder the terms: 6a2 + -2a2 + 3a3 + 9a3 = 0 Combine like terms: 6a2 + -2a2 = 4a2 4a2 + 3a3 + 9a3 = 0 Combine like terms: 3a3 + 9a3 = 12a3 4a2 + 12a3 = 0 Solving 4a2 + 12a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a2'. 4a2(1 + 3a) = 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 '(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, -0.3333333333}
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