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Simplifying 14a2 + 59a + 60 = 0 Reorder the terms: 60 + 59a + 14a2 = 0 Solving 60 + 59a + 14a2 = 0 Solving for variable 'a'. Factor a trinomial. (5 + 2a)(12 + 7a) = 0Subproblem 1
Set the factor '(5 + 2a)' equal to zero and attempt to solve: Simplifying 5 + 2a = 0 Solving 5 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 0 + -5 2a = 0 + -5 Combine like terms: 0 + -5 = -5 2a = -5 Divide each side by '2'. a = -2.5 Simplifying a = -2.5Subproblem 2
Set the factor '(12 + 7a)' equal to zero and attempt to solve: Simplifying 12 + 7a = 0 Solving 12 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7a = 0 + -12 7a = 0 + -12 Combine like terms: 0 + -12 = -12 7a = -12 Divide each side by '7'. a = -1.714285714 Simplifying a = -1.714285714Solution
a = {-2.5, -1.714285714}
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