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Simplifying 12a2 + 36ab2 = 0 Reorder the terms: 36ab2 + 12a2 = 0 Solving 36ab2 + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '12a'. 12a(3b2 + a) = 0 Ignore the factor 12.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 '(3b2 + a)' equal to zero and attempt to solve: Simplifying 3b2 + a = 0 Reorder the terms: a + 3b2 = 0 Solving a + 3b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b2' to each side of the equation. a + 3b2 + -3b2 = 0 + -3b2 Combine like terms: 3b2 + -3b2 = 0 a + 0 = 0 + -3b2 a = 0 + -3b2 Remove the zero: a = -3b2 Simplifying a = -3b2Solution
a = {0, -3b2}
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