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Simplifying (3a + 7)(3a + 7) = 0 Reorder the terms: (7 + 3a)(3a + 7) = 0 Reorder the terms: (7 + 3a)(7 + 3a) = 0 Multiply (7 + 3a) * (7 + 3a) (7(7 + 3a) + 3a * (7 + 3a)) = 0 ((7 * 7 + 3a * 7) + 3a * (7 + 3a)) = 0 ((49 + 21a) + 3a * (7 + 3a)) = 0 (49 + 21a + (7 * 3a + 3a * 3a)) = 0 (49 + 21a + (21a + 9a2)) = 0 Combine like terms: 21a + 21a = 42a (49 + 42a + 9a2) = 0 Solving 49 + 42a + 9a2 = 0 Solving for variable 'a'. Factor a trinomial. (7 + 3a)(7 + 3a) = 0Subproblem 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 '(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 = -2.333333333Solution
a = {-2.333333333, -2.333333333}
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