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Simplifying 4a2b2 + 4ab + 1 = 0 Reorder the terms: 1 + 4ab + 4a2b2 = 0 Solving 1 + 4ab + 4a2b2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + 2ab)(1 + 2ab) = 0Subproblem 1
Set the factor '(1 + 2ab)' equal to zero and attempt to solve: Simplifying 1 + 2ab = 0 Solving 1 + 2ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2ab = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2ab = 0 + -1 2ab = 0 + -1 Combine like terms: 0 + -1 = -1 2ab = -1 Divide each side by '2b'. a = -0.5b-1 Simplifying a = -0.5b-1Subproblem 2
Set the factor '(1 + 2ab)' equal to zero and attempt to solve: Simplifying 1 + 2ab = 0 Solving 1 + 2ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2ab = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2ab = 0 + -1 2ab = 0 + -1 Combine like terms: 0 + -1 = -1 2ab = -1 Divide each side by '2b'. a = -0.5b-1 Simplifying a = -0.5b-1Solution
a = {-0.5b-1, -0.5b-1}
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