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Simplifying 9a2 + -54a + 80 = 0 Reorder the terms: 80 + -54a + 9a2 = 0 Solving 80 + -54a + 9a2 = 0 Solving for variable 'a'. Factor a trinomial. (8 + -3a)(10 + -3a) = 0Subproblem 1
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 = 2.666666667Subproblem 2
Set the factor '(10 + -3a)' equal to zero and attempt to solve: Simplifying 10 + -3a = 0 Solving 10 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = 0 + -10 -3a = 0 + -10 Combine like terms: 0 + -10 = -10 -3a = -10 Divide each side by '-3'. a = 3.333333333 Simplifying a = 3.333333333Solution
a = {2.666666667, 3.333333333}
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