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Simplifying 126a2 + -105a + -616 = 0 Reorder the terms: -616 + -105a + 126a2 = 0 Solving -616 + -105a + 126a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7'. 7(-88 + -15a + 18a2) = 0 Factor a trinomial. 7((-11 + -6a)(8 + -3a)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-11 + -6a)' equal to zero and attempt to solve: Simplifying -11 + -6a = 0 Solving -11 + -6a = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -6a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -6a = 0 + 11 -6a = 0 + 11 Combine like terms: 0 + 11 = 11 -6a = 11 Divide each side by '-6'. a = -1.833333333 Simplifying a = -1.833333333Subproblem 2
Set the factor '(8 + -3a)' equal to zero and attempt to solve: Simplifying 8 + -3a = 0 Solving 8 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3a = 0 + -8 -3a = 0 + -8 Combine like terms: 0 + -8 = -8 -3a = -8 Divide each side by '-3'. a = 2.666666667 Simplifying a = 2.666666667Solution
a = {-1.833333333, 2.666666667}
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