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Simplifying 4a(a + 3b) = 0 (a * 4a + 3b * 4a) = 0 Reorder the terms: (12ab + 4a2) = 0 (12ab + 4a2) = 0 Solving 12ab + 4a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(3b + a) = 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 '(3b + a)' equal to zero and attempt to solve: Simplifying 3b + a = 0 Reorder the terms: a + 3b = 0 Solving a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 a + 0 = 0 + -3b a = 0 + -3b Remove the zero: a = -3b Simplifying a = -3bSolution
a = {0, -3b}
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