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Simplifying a2 + -1a + -24 = -4 Reorder the terms: -24 + -1a + a2 = -4 Solving -24 + -1a + a2 = -4 Solving for variable 'a'. Reorder the terms: -24 + 4 + -1a + a2 = -4 + 4 Combine like terms: -24 + 4 = -20 -20 + -1a + a2 = -4 + 4 Combine like terms: -4 + 4 = 0 -20 + -1a + a2 = 0 Factor a trinomial. (-4 + -1a)(5 + -1a) = 0Subproblem 1
Set the factor '(-4 + -1a)' equal to zero and attempt to solve: Simplifying -4 + -1a = 0 Solving -4 + -1a = 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 + -1a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1a = 0 + 4 -1a = 0 + 4 Combine like terms: 0 + 4 = 4 -1a = 4 Divide each side by '-1'. a = -4 Simplifying a = -4Subproblem 2
Set the factor '(5 + -1a)' equal to zero and attempt to solve: Simplifying 5 + -1a = 0 Solving 5 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 0 + -5 -1a = 0 + -5 Combine like terms: 0 + -5 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5Solution
a = {-4, 5}
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