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Simplifying 7ab + -4ab + 3ab + 6ac = 0 Combine like terms: 7ab + -4ab = 3ab 3ab + 3ab + 6ac = 0 Combine like terms: 3ab + 3ab = 6ab 6ab + 6ac = 0 Solving 6ab + 6ac = 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), '6a'. 6a(b + c) = 0 Ignore the factor 6.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 '(b + c)' equal to zero and attempt to solve: Simplifying b + c = 0 Solving b + c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b + c = 0 + -1b Combine like terms: b + -1b = 0 0 + c = 0 + -1b c = 0 + -1b Remove the zero: c = -1b Add '-1c' to each side of the equation. c + -1c = -1b + -1c Combine like terms: c + -1c = 0 0 = -1b + -1c Simplifying 0 = -1b + -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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