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Simplifying 2a2 = 11a + -15 Reorder the terms: 2a2 = -15 + 11a Solving 2a2 = -15 + 11a Solving for variable 'a'. Reorder the terms: 15 + -11a + 2a2 = -15 + 11a + 15 + -11a Reorder the terms: 15 + -11a + 2a2 = -15 + 15 + 11a + -11a Combine like terms: -15 + 15 = 0 15 + -11a + 2a2 = 0 + 11a + -11a 15 + -11a + 2a2 = 11a + -11a Combine like terms: 11a + -11a = 0 15 + -11a + 2a2 = 0 Factor a trinomial. (5 + -2a)(3 + -1a) = 0Subproblem 1
Set the factor '(5 + -2a)' equal to zero and attempt to solve: Simplifying 5 + -2a = 0 Solving 5 + -2a = 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 + -2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = 0 + -5 -2a = 0 + -5 Combine like terms: 0 + -5 = -5 -2a = -5 Divide each side by '-2'. a = 2.5 Simplifying a = 2.5Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {2.5, 3}
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