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Simplifying 4a(2b + 3) = 0 Reorder the terms: 4a(3 + 2b) = 0 (3 * 4a + 2b * 4a) = 0 (12a + 8ab) = 0 Solving 12a + 8ab = 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), '4a'. 4a(3 + 2b) = 0 Ignore the factor 4.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)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Add '-2b' to each side of the equation. 2b + -2b = -3 + -2b Combine like terms: 2b + -2b = 0 0 = -3 + -2b Simplifying 0 = -3 + -2b 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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