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Simplifying a2 + -1a + -2 = 4 Reorder the terms: -2 + -1a + a2 = 4 Solving -2 + -1a + a2 = 4 Solving for variable 'a'. Reorder the terms: -2 + -4 + -1a + a2 = 4 + -4 Combine like terms: -2 + -4 = -6 -6 + -1a + a2 = 4 + -4 Combine like terms: 4 + -4 = 0 -6 + -1a + a2 = 0 Factor a trinomial. (-2 + -1a)(3 + -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 '(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 = 3Solution
a = {-2, 3}
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