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Simplifying 9a2 + 13a + 4 = 0 Reorder the terms: 4 + 13a + 9a2 = 0 Solving 4 + 13a + 9a2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + a)(4 + 9a) = 0Subproblem 1
Set the factor '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 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 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1Subproblem 2
Set the factor '(4 + 9a)' equal to zero and attempt to solve: Simplifying 4 + 9a = 0 Solving 4 + 9a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9a = 0 + -4 9a = 0 + -4 Combine like terms: 0 + -4 = -4 9a = -4 Divide each side by '9'. a = -0.4444444444 Simplifying a = -0.4444444444Solution
a = {-1, -0.4444444444}
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