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Simplifying (a + -2)(a + 1) = -2a Reorder the terms: (-2 + a)(a + 1) = -2a Reorder the terms: (-2 + a)(1 + a) = -2a Multiply (-2 + a) * (1 + a) (-2(1 + a) + a(1 + a)) = -2a ((1 * -2 + a * -2) + a(1 + a)) = -2a ((-2 + -2a) + a(1 + a)) = -2a (-2 + -2a + (1 * a + a * a)) = -2a (-2 + -2a + (1a + a2)) = -2a Combine like terms: -2a + 1a = -1a (-2 + -1a + a2) = -2a Solving -2 + -1a + a2 = -2a Solving for variable 'a'. Reorder the terms: -2 + -1a + 2a + a2 = -2a + 2a Combine like terms: -1a + 2a = 1a -2 + 1a + a2 = -2a + 2a Combine like terms: -2a + 2a = 0 -2 + 1a + a2 = 0 Factor a trinomial. (-2 + -1a)(1 + -1a) = 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 '(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 = 1Solution
a = {-2, 1}
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