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