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Simplifying (3a + 5)(a + 3) = 0 Reorder the terms: (5 + 3a)(a + 3) = 0 Reorder the terms: (5 + 3a)(3 + a) = 0 Multiply (5 + 3a) * (3 + a) (5(3 + a) + 3a * (3 + a)) = 0 ((3 * 5 + a * 5) + 3a * (3 + a)) = 0 ((15 + 5a) + 3a * (3 + a)) = 0 (15 + 5a + (3 * 3a + a * 3a)) = 0 (15 + 5a + (9a + 3a2)) = 0 Combine like terms: 5a + 9a = 14a (15 + 14a + 3a2) = 0 Solving 15 + 14a + 3a2 = 0 Solving for variable 'a'. Factor a trinomial. (3 + a)(5 + 3a) = 0Subproblem 1
Set the factor '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Subproblem 2
Set the factor '(5 + 3a)' equal to zero and attempt to solve: Simplifying 5 + 3a = 0 Solving 5 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 0 + -5 3a = 0 + -5 Combine like terms: 0 + -5 = -5 3a = -5 Divide each side by '3'. a = -1.666666667 Simplifying a = -1.666666667Solution
a = {-3, -1.666666667}
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