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Simplifying (3a + 4)(9a + 7) = 0 Reorder the terms: (4 + 3a)(9a + 7) = 0 Reorder the terms: (4 + 3a)(7 + 9a) = 0 Multiply (4 + 3a) * (7 + 9a) (4(7 + 9a) + 3a * (7 + 9a)) = 0 ((7 * 4 + 9a * 4) + 3a * (7 + 9a)) = 0 ((28 + 36a) + 3a * (7 + 9a)) = 0 (28 + 36a + (7 * 3a + 9a * 3a)) = 0 (28 + 36a + (21a + 27a2)) = 0 Combine like terms: 36a + 21a = 57a (28 + 57a + 27a2) = 0 Solving 28 + 57a + 27a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + 3a)(7 + 9a) = 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 '(7 + 9a)' equal to zero and attempt to solve: Simplifying 7 + 9a = 0 Solving 7 + 9a = 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 + 9a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9a = 0 + -7 9a = 0 + -7 Combine like terms: 0 + -7 = -7 9a = -7 Divide each side by '9'. a = -0.7777777778 Simplifying a = -0.7777777778Solution
a = {-1.333333333, -0.7777777778}
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