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Simplifying 9a2 = 6a + -1 Reorder the terms: 9a2 = -1 + 6a Solving 9a2 = -1 + 6a Solving for variable 'a'. Reorder the terms: 1 + -6a + 9a2 = -1 + 6a + 1 + -6a Reorder the terms: 1 + -6a + 9a2 = -1 + 1 + 6a + -6a Combine like terms: -1 + 1 = 0 1 + -6a + 9a2 = 0 + 6a + -6a 1 + -6a + 9a2 = 6a + -6a Combine like terms: 6a + -6a = 0 1 + -6a + 9a2 = 0 Factor a trinomial. (1 + -3a)(1 + -3a) = 0Subproblem 1
Set the factor '(1 + -3a)' equal to zero and attempt to solve: Simplifying 1 + -3a = 0 Solving 1 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3a = 0 + -1 -3a = 0 + -1 Combine like terms: 0 + -1 = -1 -3a = -1 Divide each side by '-3'. a = 0.3333333333 Simplifying a = 0.3333333333Subproblem 2
Set the factor '(1 + -3a)' equal to zero and attempt to solve: Simplifying 1 + -3a = 0 Solving 1 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3a = 0 + -1 -3a = 0 + -1 Combine like terms: 0 + -1 = -1 -3a = -1 Divide each side by '-3'. a = 0.3333333333 Simplifying a = 0.3333333333Solution
a = {0.3333333333, 0.3333333333}
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