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Simplifying 3a2 + -4a + -119 = 0 Reorder the terms: -119 + -4a + 3a2 = 0 Solving -119 + -4a + 3a2 = 0 Solving for variable 'a'. Factor a trinomial. (-17 + -3a)(7 + -1a) = 0Subproblem 1
Set the factor '(-17 + -3a)' equal to zero and attempt to solve: Simplifying -17 + -3a = 0 Solving -17 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -3a = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -3a = 0 + 17 -3a = 0 + 17 Combine like terms: 0 + 17 = 17 -3a = 17 Divide each side by '-3'. a = -5.666666667 Simplifying a = -5.666666667Subproblem 2
Set the factor '(7 + -1a)' equal to zero and attempt to solve: Simplifying 7 + -1a = 0 Solving 7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 0 + -7 -1a = 0 + -7 Combine like terms: 0 + -7 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7Solution
a = {-5.666666667, 7}
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