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