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Simplifying 12a2 + 17a + 5 = 0 Reorder the terms: 5 + 17a + 12a2 = 0 Solving 5 + 17a + 12a2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + a)(5 + 12a) = 0Subproblem 1
Set the factor '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 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 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1Subproblem 2
Set the factor '(5 + 12a)' equal to zero and attempt to solve: Simplifying 5 + 12a = 0 Solving 5 + 12a = 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 + 12a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 12a = 0 + -5 12a = 0 + -5 Combine like terms: 0 + -5 = -5 12a = -5 Divide each side by '12'. a = -0.4166666667 Simplifying a = -0.4166666667Solution
a = {-1, -0.4166666667}
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