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Simplifying 8a2 + 65a + 8 = 0 Reorder the terms: 8 + 65a + 8a2 = 0 Solving 8 + 65a + 8a2 = 0 Solving for variable 'a'. Factor a trinomial. (8 + a)(1 + 8a) = 0Subproblem 1
Set the factor '(8 + a)' equal to zero and attempt to solve: Simplifying 8 + a = 0 Solving 8 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + a = 0 + -8 a = 0 + -8 Combine like terms: 0 + -8 = -8 a = -8 Simplifying a = -8Subproblem 2
Set the factor '(1 + 8a)' equal to zero and attempt to solve: Simplifying 1 + 8a = 0 Solving 1 + 8a = 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 + 8a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8a = 0 + -1 8a = 0 + -1 Combine like terms: 0 + -1 = -1 8a = -1 Divide each side by '8'. a = -0.125 Simplifying a = -0.125Solution
a = {-8, -0.125}
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