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Simplifying 4a2 + 28a = -48 Reorder the terms: 28a + 4a2 = -48 Solving 28a + 4a2 = -48 Solving for variable 'a'. Reorder the terms: 48 + 28a + 4a2 = -48 + 48 Combine like terms: -48 + 48 = 0 48 + 28a + 4a2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(12 + 7a + a2) = 0 Factor a trinomial. 4((4 + a)(3 + a)) = 0 Ignore the factor 4.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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