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Simplifying 56a2 + -33a + -108 = 0 Reorder the terms: -108 + -33a + 56a2 = 0 Solving -108 + -33a + 56a2 = 0 Solving for variable 'a'. Factor a trinomial. (-9 + -8a)(12 + -7a) = 0Subproblem 1
Set the factor '(-9 + -8a)' equal to zero and attempt to solve: Simplifying -9 + -8a = 0 Solving -9 + -8a = 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 + -8a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8a = 0 + 9 -8a = 0 + 9 Combine like terms: 0 + 9 = 9 -8a = 9 Divide each side by '-8'. a = -1.125 Simplifying a = -1.125Subproblem 2
Set the factor '(12 + -7a)' equal to zero and attempt to solve: Simplifying 12 + -7a = 0 Solving 12 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7a = 0 + -12 -7a = 0 + -12 Combine like terms: 0 + -12 = -12 -7a = -12 Divide each side by '-7'. a = 1.714285714 Simplifying a = 1.714285714Solution
a = {-1.125, 1.714285714}
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