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Simplifying (6a5 + 9a2) + (9a5 + 9a2) = 0 Reorder the terms: (9a2 + 6a5) + (9a5 + 9a2) = 0 Remove parenthesis around (9a2 + 6a5) 9a2 + 6a5 + (9a5 + 9a2) = 0 Reorder the terms: 9a2 + 6a5 + (9a2 + 9a5) = 0 Remove parenthesis around (9a2 + 9a5) 9a2 + 6a5 + 9a2 + 9a5 = 0 Reorder the terms: 9a2 + 9a2 + 6a5 + 9a5 = 0 Combine like terms: 9a2 + 9a2 = 18a2 18a2 + 6a5 + 9a5 = 0 Combine like terms: 6a5 + 9a5 = 15a5 18a2 + 15a5 = 0 Solving 18a2 + 15a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a2'. 3a2(6 + 5a3) = 0 Ignore the factor 3.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 '(6 + 5a3)' equal to zero and attempt to solve: Simplifying 6 + 5a3 = 0 Solving 6 + 5a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5a3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5a3 = 0 + -6 5a3 = 0 + -6 Combine like terms: 0 + -6 = -6 5a3 = -6 Divide each side by '5'. a3 = -1.2 Simplifying a3 = -1.2 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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