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Simplifying 5a2 + 14a + 8 = 0 Reorder the terms: 8 + 14a + 5a2 = 0 Solving 8 + 14a + 5a2 = 0 Solving for variable 'a'. Factor a trinomial. (2 + a)(4 + 5a) = 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 '(4 + 5a)' equal to zero and attempt to solve: Simplifying 4 + 5a = 0 Solving 4 + 5a = 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 + 5a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = 0 + -4 5a = 0 + -4 Combine like terms: 0 + -4 = -4 5a = -4 Divide each side by '5'. a = -0.8 Simplifying a = -0.8Solution
a = {-2, -0.8}
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