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Simplifying 2a2 + 8a + 12 = 4 Reorder the terms: 12 + 8a + 2a2 = 4 Solving 12 + 8a + 2a2 = 4 Solving for variable 'a'. Reorder the terms: 12 + -4 + 8a + 2a2 = 4 + -4 Combine like terms: 12 + -4 = 8 8 + 8a + 2a2 = 4 + -4 Combine like terms: 4 + -4 = 0 8 + 8a + 2a2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 4a + a2) = 0 Factor a trinomial. 2((2 + a)(2 + a)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 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 = {-2, -2}
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