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Simplifying 30a2 + 37a + 9 = 0 Reorder the terms: 9 + 37a + 30a2 = 0 Solving 9 + 37a + 30a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + 10a)(1 + 3a) = 0Subproblem 1
Set the factor '(9 + 10a)' equal to zero and attempt to solve: Simplifying 9 + 10a = 0 Solving 9 + 10a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 10a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10a = 0 + -9 10a = 0 + -9 Combine like terms: 0 + -9 = -9 10a = -9 Divide each side by '10'. a = -0.9 Simplifying a = -0.9Subproblem 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 = {-0.9, -0.3333333333}
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