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Simplifying 9a2 + -18a + -55 = 0 Reorder the terms: -55 + -18a + 9a2 = 0 Solving -55 + -18a + 9a2 = 0 Solving for variable 'a'. Factor a trinomial. (-5 + -3a)(11 + -3a) = 0Subproblem 1
Set the factor '(-5 + -3a)' equal to zero and attempt to solve: Simplifying -5 + -3a = 0 Solving -5 + -3a = 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 + -3a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3a = 0 + 5 -3a = 0 + 5 Combine like terms: 0 + 5 = 5 -3a = 5 Divide each side by '-3'. a = -1.666666667 Simplifying a = -1.666666667Subproblem 2
Set the factor '(11 + -3a)' equal to zero and attempt to solve: Simplifying 11 + -3a = 0 Solving 11 + -3a = 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 + -3a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3a = 0 + -11 -3a = 0 + -11 Combine like terms: 0 + -11 = -11 -3a = -11 Divide each side by '-3'. a = 3.666666667 Simplifying a = 3.666666667Solution
a = {-1.666666667, 3.666666667}
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