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Simplifying 20a2 + 29a + 6 = 0 Reorder the terms: 6 + 29a + 20a2 = 0 Solving 6 + 29a + 20a2 = 0 Solving for variable 'a'. Factor a trinomial. (6 + 5a)(1 + 4a) = 0Subproblem 1
Set the factor '(6 + 5a)' equal to zero and attempt to solve: Simplifying 6 + 5a = 0 Solving 6 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5a = 0 + -6 5a = 0 + -6 Combine like terms: 0 + -6 = -6 5a = -6 Divide each side by '5'. a = -1.2 Simplifying a = -1.2Subproblem 2
Set the factor '(1 + 4a)' equal to zero and attempt to solve: Simplifying 1 + 4a = 0 Solving 1 + 4a = 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 + 4a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = 0 + -1 4a = 0 + -1 Combine like terms: 0 + -1 = -1 4a = -1 Divide each side by '4'. a = -0.25 Simplifying a = -0.25Solution
a = {-1.2, -0.25}
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