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Simplifying -18a2 + -12a + -2 = 0 Reorder the terms: -2 + -12a + -18a2 = 0 Solving -2 + -12a + -18a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-2'. -2(1 + 6a + 9a2) = 0 Factor a trinomial. -2((1 + 3a)(1 + 3a)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(1 + 3a)' equal to zero and attempt to solve: Simplifying 1 + 3a = 0 Solving 1 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a = 0 + -1 3a = 0 + -1 Combine like terms: 0 + -1 = -1 3a = -1 Divide each side by '3'. a = -0.3333333333 Simplifying a = -0.3333333333Subproblem 2
Set the factor '(1 + 3a)' equal to zero and attempt to solve: Simplifying 1 + 3a = 0 Solving 1 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a = 0 + -1 3a = 0 + -1 Combine like terms: 0 + -1 = -1 3a = -1 Divide each side by '3'. a = -0.3333333333 Simplifying a = -0.3333333333Solution
a = {-0.3333333333, -0.3333333333}
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