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Simplifying 12a2 + 52a + 56 = 0 Reorder the terms: 56 + 52a + 12a2 = 0 Solving 56 + 52a + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(14 + 13a + 3a2) = 0 Factor a trinomial. 4((7 + 3a)(2 + a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + 3a)' equal to zero and attempt to solve: Simplifying 7 + 3a = 0 Solving 7 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3a = 0 + -7 3a = 0 + -7 Combine like terms: 0 + -7 = -7 3a = -7 Divide each side by '3'. a = -2.333333333 Simplifying a = -2.333333333Subproblem 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 = {-2.333333333, -2}
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