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Simplifying 3a2 + 6ab2 = 0 Reorder the terms: 6ab2 + 3a2 = 0 Solving 6ab2 + 3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(2b2 + a) = 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 '(2b2 + a)' equal to zero and attempt to solve: Simplifying 2b2 + a = 0 Reorder the terms: a + 2b2 = 0 Solving a + 2b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b2' to each side of the equation. a + 2b2 + -2b2 = 0 + -2b2 Combine like terms: 2b2 + -2b2 = 0 a + 0 = 0 + -2b2 a = 0 + -2b2 Remove the zero: a = -2b2 Simplifying a = -2b2Solution
a = {0, -2b2}
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