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Simplifying 3a(7b + 6c) = 0 (7b * 3a + 6c * 3a) = 0 (21ab + 18ac) = 0 Solving 21ab + 18ac = 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(7b + 6c) = 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 '(7b + 6c)' equal to zero and attempt to solve: Simplifying 7b + 6c = 0 Solving 7b + 6c = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 7b + -7b + 6c = 0 + -7b Combine like terms: 7b + -7b = 0 0 + 6c = 0 + -7b 6c = 0 + -7b Remove the zero: 6c = -7b Add '-6c' to each side of the equation. 6c + -6c = -7b + -6c Combine like terms: 6c + -6c = 0 0 = -7b + -6c Simplifying 0 = -7b + -6c 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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