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Simplifying 3ab(2ac + 3bc) = 0 (2ac * 3ab + 3bc * 3ab) = 0 Reorder the terms: (9ab2c + 6a2bc) = 0 (9ab2c + 6a2bc) = 0 Solving 9ab2c + 6a2bc = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3abc'. 3abc(3b + 2a) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'abc' equal to zero and attempt to solve: Simplifying abc = 0 Solving abc = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abc = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3b + 2a)' equal to zero and attempt to solve: Simplifying 3b + 2a = 0 Reorder the terms: 2a + 3b = 0 Solving 2a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 2a + 0 = 0 + -3b 2a = 0 + -3b Remove the zero: 2a = -3b Divide each side by '2'. a = -1.5b Simplifying a = -1.5bSolution
a = {-1.5b}
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