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Simplifying 18a2 + 49a + 10 = 0 Reorder the terms: 10 + 49a + 18a2 = 0 Solving 10 + 49a + 18a2 = 0 Solving for variable 'a'. Factor a trinomial. (5 + 2a)(2 + 9a) = 0Subproblem 1
Set the factor '(5 + 2a)' equal to zero and attempt to solve: Simplifying 5 + 2a = 0 Solving 5 + 2a = 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 + 2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 0 + -5 2a = 0 + -5 Combine like terms: 0 + -5 = -5 2a = -5 Divide each side by '2'. a = -2.5 Simplifying a = -2.5Subproblem 2
Set the factor '(2 + 9a)' equal to zero and attempt to solve: Simplifying 2 + 9a = 0 Solving 2 + 9a = 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 + 9a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9a = 0 + -2 9a = 0 + -2 Combine like terms: 0 + -2 = -2 9a = -2 Divide each side by '9'. a = -0.2222222222 Simplifying a = -0.2222222222Solution
a = {-2.5, -0.2222222222}
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