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Simplifying 4a2 + -4a + 4 = 3 Reorder the terms: 4 + -4a + 4a2 = 3 Solving 4 + -4a + 4a2 = 3 Solving for variable 'a'. Reorder the terms: 4 + -3 + -4a + 4a2 = 3 + -3 Combine like terms: 4 + -3 = 1 1 + -4a + 4a2 = 3 + -3 Combine like terms: 3 + -3 = 0 1 + -4a + 4a2 = 0 Factor a trinomial. (1 + -2a)(1 + -2a) = 0Subproblem 1
Set the factor '(1 + -2a)' equal to zero and attempt to solve: Simplifying 1 + -2a = 0 Solving 1 + -2a = 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 + -2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = 0 + -1 -2a = 0 + -1 Combine like terms: 0 + -1 = -1 -2a = -1 Divide each side by '-2'. a = 0.5 Simplifying a = 0.5Subproblem 2
Set the factor '(1 + -2a)' equal to zero and attempt to solve: Simplifying 1 + -2a = 0 Solving 1 + -2a = 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 + -2a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = 0 + -1 -2a = 0 + -1 Combine like terms: 0 + -1 = -1 -2a = -1 Divide each side by '-2'. a = 0.5 Simplifying a = 0.5Solution
a = {0.5, 0.5}
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