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Simplifying 81a2 + 36a = -4 Reorder the terms: 36a + 81a2 = -4 Solving 36a + 81a2 = -4 Solving for variable 'a'. Reorder the terms: 4 + 36a + 81a2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 36a + 81a2 = 0 Factor a trinomial. (2 + 9a)(2 + 9a) = 0Subproblem 1
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 = -0.2222222222Subproblem 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 = {-0.2222222222, -0.2222222222}
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