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Simplifying 9a2 + 19a + 2 = 0 Reorder the terms: 2 + 19a + 9a2 = 0 Solving 2 + 19a + 9a2 = 0 Solving for variable 'a'. Factor a trinomial. (2 + a)(1 + 9a) = 0Subproblem 1
Set the factor '(2 + a)' equal to zero and attempt to solve: Simplifying 2 + a = 0 Solving 2 + a = 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 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Subproblem 2
Set the factor '(1 + 9a)' equal to zero and attempt to solve: Simplifying 1 + 9a = 0 Solving 1 + 9a = 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 + 9a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9a = 0 + -1 9a = 0 + -1 Combine like terms: 0 + -1 = -1 9a = -1 Divide each side by '9'. a = -0.1111111111 Simplifying a = -0.1111111111Solution
a = {-2, -0.1111111111}
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