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Simplifying 6ab + 3ac + -9a = 0 Reorder the terms: -9a + 6ab + 3ac = 0 Solving -9a + 6ab + 3ac = 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(-3 + 2b + c) = 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 '(-3 + 2b + c)' equal to zero and attempt to solve: Simplifying -3 + 2b + c = 0 Solving -3 + 2b + c = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2b + 3 + c = 0 + 3 Reorder the terms: -3 + 3 + 2b + c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2b + c = 0 + 3 2b + c = 0 + 3 Combine like terms: 0 + 3 = 3 2b + c = 3 Add '-2b' to each side of the equation. 2b + -2b + c = 3 + -2b Combine like terms: 2b + -2b = 0 0 + c = 3 + -2b c = 3 + -2b Add '-1c' to each side of the equation. c + -1c = 3 + -2b + -1c Combine like terms: c + -1c = 0 0 = 3 + -2b + -1c Simplifying 0 = 3 + -2b + -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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