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Simplifying 6a2 + 12a + 13 = 2a2 + 4 Reorder the terms: 13 + 12a + 6a2 = 2a2 + 4 Reorder the terms: 13 + 12a + 6a2 = 4 + 2a2 Solving 13 + 12a + 6a2 = 4 + 2a2 Solving for variable 'a'. Reorder the terms: 13 + -4 + 12a + 6a2 + -2a2 = 4 + 2a2 + -4 + -2a2 Combine like terms: 13 + -4 = 9 9 + 12a + 6a2 + -2a2 = 4 + 2a2 + -4 + -2a2 Combine like terms: 6a2 + -2a2 = 4a2 9 + 12a + 4a2 = 4 + 2a2 + -4 + -2a2 Reorder the terms: 9 + 12a + 4a2 = 4 + -4 + 2a2 + -2a2 Combine like terms: 4 + -4 = 0 9 + 12a + 4a2 = 0 + 2a2 + -2a2 9 + 12a + 4a2 = 2a2 + -2a2 Combine like terms: 2a2 + -2a2 = 0 9 + 12a + 4a2 = 0 Factor a trinomial. (3 + 2a)(3 + 2a) = 0Subproblem 1
Set the factor '(3 + 2a)' equal to zero and attempt to solve: Simplifying 3 + 2a = 0 Solving 3 + 2a = 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 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5Subproblem 2
Set the factor '(3 + 2a)' equal to zero and attempt to solve: Simplifying 3 + 2a = 0 Solving 3 + 2a = 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 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5Solution
a = {-1.5, -1.5}
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