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Simplifying 4a2b2 + 16ab + 12a = 0 Reorder the terms: 12a + 16ab + 4a2b2 = 0 Solving 12a + 16ab + 4a2b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(3 + 4b + ab2) = 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 + 4b + ab2)' equal to zero and attempt to solve: Simplifying 3 + 4b + ab2 = 0 Reorder the terms: 3 + ab2 + 4b = 0 Solving 3 + ab2 + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + ab2 + -3 + 4b = 0 + -3 Reorder the terms: 3 + -3 + ab2 + 4b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + ab2 + 4b = 0 + -3 ab2 + 4b = 0 + -3 Combine like terms: 0 + -3 = -3 ab2 + 4b = -3 Add '-4b' to each side of the equation. ab2 + 4b + -4b = -3 + -4b Combine like terms: 4b + -4b = 0 ab2 + 0 = -3 + -4b ab2 = -3 + -4b Divide each side by 'b2'. a = -3b-2 + -4b-1 Simplifying a = -3b-2 + -4b-1Solution
a = {0, -3b-2 + -4b-1}
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