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Simplifying 5a2 = -6 + 11a Solving 5a2 = -6 + 11a Solving for variable 'a'. Reorder the terms: 6 + -11a + 5a2 = -6 + 11a + 6 + -11a Reorder the terms: 6 + -11a + 5a2 = -6 + 6 + 11a + -11a Combine like terms: -6 + 6 = 0 6 + -11a + 5a2 = 0 + 11a + -11a 6 + -11a + 5a2 = 11a + -11a Combine like terms: 11a + -11a = 0 6 + -11a + 5a2 = 0 Factor a trinomial. (1 + -1a)(6 + -5a) = 0Subproblem 1
Set the factor '(1 + -1a)' equal to zero and attempt to solve: Simplifying 1 + -1a = 0 Solving 1 + -1a = 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 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1Subproblem 2
Set the factor '(6 + -5a)' equal to zero and attempt to solve: Simplifying 6 + -5a = 0 Solving 6 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = 0 + -6 -5a = 0 + -6 Combine like terms: 0 + -6 = -6 -5a = -6 Divide each side by '-5'. a = 1.2 Simplifying a = 1.2Solution
a = {1, 1.2}
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