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Simplifying 4a2 = -4a + -1 Reorder the terms: 4a2 = -1 + -4a Solving 4a2 = -1 + -4a Solving for variable 'a'. Reorder the terms: 1 + 4a + 4a2 = -1 + -4a + 1 + 4a Reorder the terms: 1 + 4a + 4a2 = -1 + 1 + -4a + 4a Combine like terms: -1 + 1 = 0 1 + 4a + 4a2 = 0 + -4a + 4a 1 + 4a + 4a2 = -4a + 4a Combine like terms: -4a + 4a = 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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