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Simplifying 8(a2 + 4a + 3) = 0 Reorder the terms: 8(3 + 4a + a2) = 0 (3 * 8 + 4a * 8 + a2 * 8) = 0 (24 + 32a + 8a2) = 0 Solving 24 + 32a + 8a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8'. 8(3 + 4a + a2) = 0 Factor a trinomial. 8((3 + a)(1 + a)) = 0 Ignore the factor 8.Subproblem 1
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 = -3Subproblem 2
Set the factor '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1Solution
a = {-3, -1}
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