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Simplifying 4a + 2ac + 6ab = 0 Reorder the terms: 4a + 6ab + 2ac = 0 Solving 4a + 6ab + 2ac = 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), '2a'. 2a(2 + 3b + c) = 0 Ignore the factor 2.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 + 3b + c)' equal to zero and attempt to solve: Simplifying 2 + 3b + c = 0 Solving 2 + 3b + c = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3b + -2 + c = 0 + -2 Reorder the terms: 2 + -2 + 3b + c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3b + c = 0 + -2 3b + c = 0 + -2 Combine like terms: 0 + -2 = -2 3b + c = -2 Add '-3b' to each side of the equation. 3b + -3b + c = -2 + -3b Combine like terms: 3b + -3b = 0 0 + c = -2 + -3b c = -2 + -3b Add '-1c' to each side of the equation. c + -1c = -2 + -3b + -1c Combine like terms: c + -1c = 0 0 = -2 + -3b + -1c Simplifying 0 = -2 + -3b + -1c 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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