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Simplifying 9 = 2a + 1 + a2 Reorder the terms: 9 = 1 + 2a + a2 Solving 9 = 1 + 2a + a2 Solving for variable 'a'. Combine like terms: 9 + -1 = 8 8 + -2a + -1a2 = 1 + 2a + a2 + -1 + -2a + -1a2 Reorder the terms: 8 + -2a + -1a2 = 1 + -1 + 2a + -2a + a2 + -1a2 Combine like terms: 1 + -1 = 0 8 + -2a + -1a2 = 0 + 2a + -2a + a2 + -1a2 8 + -2a + -1a2 = 2a + -2a + a2 + -1a2 Combine like terms: 2a + -2a = 0 8 + -2a + -1a2 = 0 + a2 + -1a2 8 + -2a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 8 + -2a + -1a2 = 0 Factor a trinomial. (2 + -1a)(4 + a) = 0Subproblem 1
Set the factor '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2Subproblem 2
Set the factor '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Solution
a = {2, -4}
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