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Simplifying 4a2 + 28a + 12 = -28 Reorder the terms: 12 + 28a + 4a2 = -28 Solving 12 + 28a + 4a2 = -28 Solving for variable 'a'. Reorder the terms: 12 + 28 + 28a + 4a2 = -28 + 28 Combine like terms: 12 + 28 = 40 40 + 28a + 4a2 = -28 + 28 Combine like terms: -28 + 28 = 0 40 + 28a + 4a2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(10 + 7a + a2) = 0 Factor a trinomial. 4((5 + a)(2 + a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + a)' equal to zero and attempt to solve: Simplifying 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5Subproblem 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 = {-5, -2}
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