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Simplifying 4a2b2 + 12ab + 9 = 0 Reorder the terms: 9 + 12ab + 4a2b2 = 0 Solving 9 + 12ab + 4a2b2 = 0 Solving for variable 'a'. Factor a trinomial. (3 + 2ab)(3 + 2ab) = 0Subproblem 1
Set the factor '(3 + 2ab)' equal to zero and attempt to solve: Simplifying 3 + 2ab = 0 Solving 3 + 2ab = 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 + 2ab = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2ab = 0 + -3 2ab = 0 + -3 Combine like terms: 0 + -3 = -3 2ab = -3 Divide each side by '2b'. a = -1.5b-1 Simplifying a = -1.5b-1Subproblem 2
Set the factor '(3 + 2ab)' equal to zero and attempt to solve: Simplifying 3 + 2ab = 0 Solving 3 + 2ab = 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 + 2ab = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2ab = 0 + -3 2ab = 0 + -3 Combine like terms: 0 + -3 = -3 2ab = -3 Divide each side by '2b'. a = -1.5b-1 Simplifying a = -1.5b-1Solution
a = {-1.5b-1, -1.5b-1}
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