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