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Simplifying 6a + 3ai = 0 Solving 6a + 3ai = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3a'. 3a(2 + i) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(2 + i)' equal to zero and attempt to solve: Simplifying 2 + i = 0 Solving 2 + i = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + i = 0 + -2 i = 0 + -2 Combine like terms: 0 + -2 = -2 i = -2 Add '-1i' to each side of the equation. i + -1i = -2 + -1i Combine like terms: i + -1i = 0 0 = -2 + -1i Simplifying 0 = -2 + -1i 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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