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Simplifying -56 = a2 + 18a Reorder the terms: -56 = 18a + a2 Solving -56 = 18a + a2 Solving for variable 'a'. Reorder the terms: -56 + -18a + -1a2 = 18a + -18a + a2 + -1a2 Combine like terms: 18a + -18a = 0 -56 + -18a + -1a2 = 0 + a2 + -1a2 -56 + -18a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -56 + -18a + -1a2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(56 + 18a + a2) = 0 Factor a trinomial. -1((14 + a)(4 + a)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(14 + a)' equal to zero and attempt to solve: Simplifying 14 + a = 0 Solving 14 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + a = 0 + -14 a = 0 + -14 Combine like terms: 0 + -14 = -14 a = -14 Simplifying a = -14Subproblem 2
Set the factor '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 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 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Solution
a = {-14, -4}
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