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Simplifying (2A + 8)(A + 3) = 0 Reorder the terms: (8 + 2A)(A + 3) = 0 Reorder the terms: (8 + 2A)(3 + A) = 0 Multiply (8 + 2A) * (3 + A) (8(3 + A) + 2A * (3 + A)) = 0 ((3 * 8 + A * 8) + 2A * (3 + A)) = 0 ((24 + 8A) + 2A * (3 + A)) = 0 (24 + 8A + (3 * 2A + A * 2A)) = 0 (24 + 8A + (6A + 2A2)) = 0 Combine like terms: 8A + 6A = 14A (24 + 14A + 2A2) = 0 Solving 24 + 14A + 2A2 = 0 Solving for variable 'A'. Factor out the Greatest Common Factor (GCF), '2'. 2(12 + 7A + A2) = 0 Factor a trinomial. 2((4 + A)(3 + A)) = 0 Ignore the factor 2.Subproblem 1
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 = -4Subproblem 2
Set the factor '(3 + A)' equal to zero and attempt to solve: Simplifying 3 + A = 0 Solving 3 + A = 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 + A = 0 + -3 Combine like terms: 3 + -3 = 0 0 + A = 0 + -3 A = 0 + -3 Combine like terms: 0 + -3 = -3 A = -3 Simplifying A = -3Solution
A = {-4, -3}
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