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Simplifying 108a2 + -114a + -1674 = 0 Reorder the terms: -1674 + -114a + 108a2 = 0 Solving -1674 + -114a + 108a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6'. 6(-279 + -19a + 18a2) = 0 Factor a trinomial. 6((-31 + -9a)(9 + -2a)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-31 + -9a)' equal to zero and attempt to solve: Simplifying -31 + -9a = 0 Solving -31 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -9a = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -9a = 0 + 31 -9a = 0 + 31 Combine like terms: 0 + 31 = 31 -9a = 31 Divide each side by '-9'. a = -3.444444444 Simplifying a = -3.444444444Subproblem 2
Set the factor '(9 + -2a)' equal to zero and attempt to solve: Simplifying 9 + -2a = 0 Solving 9 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2a = 0 + -9 -2a = 0 + -9 Combine like terms: 0 + -9 = -9 -2a = -9 Divide each side by '-2'. a = 4.5 Simplifying a = 4.5Solution
a = {-3.444444444, 4.5}
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