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Simplifying a2 + -5a + -18 = 18 Reorder the terms: -18 + -5a + a2 = 18 Solving -18 + -5a + a2 = 18 Solving for variable 'a'. Reorder the terms: -18 + -18 + -5a + a2 = 18 + -18 Combine like terms: -18 + -18 = -36 -36 + -5a + a2 = 18 + -18 Combine like terms: 18 + -18 = 0 -36 + -5a + a2 = 0 Factor a trinomial. (-4 + -1a)(9 + -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 '(9 + -1a)' equal to zero and attempt to solve: Simplifying 9 + -1a = 0 Solving 9 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1a = 0 + -9 -1a = 0 + -9 Combine like terms: 0 + -9 = -9 -1a = -9 Divide each side by '-1'. a = 9 Simplifying a = 9Solution
a = {-4, 9}
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