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