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Simplifying -1a2 + -11a + -18 = 0 Reorder the terms: -18 + -11a + -1a2 = 0 Solving -18 + -11a + -1a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1'. -1(18 + 11a + a2) = 0 Factor a trinomial. -1((9 + a)(2 + a)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + a)' equal to zero and attempt to solve: Simplifying 9 + a = 0 Solving 9 + a = 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 + a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a = 0 + -9 a = 0 + -9 Combine like terms: 0 + -9 = -9 a = -9 Simplifying a = -9Subproblem 2
Set the factor '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 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 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Solution
a = {-9, -2}
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