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Simplifying 27a2 + 36a + 12 = 0 Reorder the terms: 12 + 36a + 27a2 = 0 Solving 12 + 36a + 27a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 12a + 9a2) = 0 Factor a trinomial. 3((2 + 3a)(2 + 3a)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + 3a)' equal to zero and attempt to solve: Simplifying 2 + 3a = 0 Solving 2 + 3a = 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 + 3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = 0 + -2 3a = 0 + -2 Combine like terms: 0 + -2 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667Subproblem 2
Set the factor '(2 + 3a)' equal to zero and attempt to solve: Simplifying 2 + 3a = 0 Solving 2 + 3a = 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 + 3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = 0 + -2 3a = 0 + -2 Combine like terms: 0 + -2 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667Solution
a = {-0.6666666667, -0.6666666667}
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