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Simplifying 3a2 + -10a + -131 = -6 Reorder the terms: -131 + -10a + 3a2 = -6 Solving -131 + -10a + 3a2 = -6 Solving for variable 'a'. Reorder the terms: -131 + 6 + -10a + 3a2 = -6 + 6 Combine like terms: -131 + 6 = -125 -125 + -10a + 3a2 = -6 + 6 Combine like terms: -6 + 6 = 0 -125 + -10a + 3a2 = 0 Factor a trinomial. (-5 + -1a)(25 + -3a) = 0Subproblem 1
Set the factor '(-5 + -1a)' equal to zero and attempt to solve: Simplifying -5 + -1a = 0 Solving -5 + -1a = 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 + -1a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = 0 + 5 -1a = 0 + 5 Combine like terms: 0 + 5 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5Subproblem 2
Set the factor '(25 + -3a)' equal to zero and attempt to solve: Simplifying 25 + -3a = 0 Solving 25 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -3a = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -3a = 0 + -25 -3a = 0 + -25 Combine like terms: 0 + -25 = -25 -3a = -25 Divide each side by '-3'. a = 8.333333333 Simplifying a = 8.333333333Solution
a = {-5, 8.333333333}
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