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Simplifying 35a2 + 41a = -12 Reorder the terms: 41a + 35a2 = -12 Solving 41a + 35a2 = -12 Solving for variable 'a'. Reorder the terms: 12 + 41a + 35a2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 41a + 35a2 = 0 Factor a trinomial. (3 + 5a)(4 + 7a) = 0Subproblem 1
Set the factor '(3 + 5a)' equal to zero and attempt to solve: Simplifying 3 + 5a = 0 Solving 3 + 5a = 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 + 5a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5a = 0 + -3 5a = 0 + -3 Combine like terms: 0 + -3 = -3 5a = -3 Divide each side by '5'. a = -0.6 Simplifying a = -0.6Subproblem 2
Set the factor '(4 + 7a)' equal to zero and attempt to solve: Simplifying 4 + 7a = 0 Solving 4 + 7a = 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 + 7a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7a = 0 + -4 7a = 0 + -4 Combine like terms: 0 + -4 = -4 7a = -4 Divide each side by '7'. a = -0.5714285714 Simplifying a = -0.5714285714Solution
a = {-0.6, -0.5714285714}
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