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Simplifying 8a2 + 19a = -6 Reorder the terms: 19a + 8a2 = -6 Solving 19a + 8a2 = -6 Solving for variable 'a'. Reorder the terms: 6 + 19a + 8a2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 19a + 8a2 = 0 Factor a trinomial. (2 + a)(3 + 8a) = 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 '(3 + 8a)' equal to zero and attempt to solve: Simplifying 3 + 8a = 0 Solving 3 + 8a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8a = 0 + -3 8a = 0 + -3 Combine like terms: 0 + -3 = -3 8a = -3 Divide each side by '8'. a = -0.375 Simplifying a = -0.375Solution
a = {-2, -0.375}
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