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Simplifying (3a + 2)(3a + 4) = 0 Reorder the terms: (2 + 3a)(3a + 4) = 0 Reorder the terms: (2 + 3a)(4 + 3a) = 0 Multiply (2 + 3a) * (4 + 3a) (2(4 + 3a) + 3a * (4 + 3a)) = 0 ((4 * 2 + 3a * 2) + 3a * (4 + 3a)) = 0 ((8 + 6a) + 3a * (4 + 3a)) = 0 (8 + 6a + (4 * 3a + 3a * 3a)) = 0 (8 + 6a + (12a + 9a2)) = 0 Combine like terms: 6a + 12a = 18a (8 + 18a + 9a2) = 0 Solving 8 + 18a + 9a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + 3a)(2 + 3a) = 0Subproblem 1
Set the factor '(4 + 3a)' equal to zero and attempt to solve: Simplifying 4 + 3a = 0 Solving 4 + 3a = 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 + 3a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3a = 0 + -4 3a = 0 + -4 Combine like terms: 0 + -4 = -4 3a = -4 Divide each side by '3'. a = -1.333333333 Simplifying a = -1.333333333Subproblem 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 = {-1.333333333, -0.6666666667}
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