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Simplifying 3a2 = 14a + -8 Reorder the terms: 3a2 = -8 + 14a Solving 3a2 = -8 + 14a Solving for variable 'a'. Reorder the terms: 8 + -14a + 3a2 = -8 + 14a + 8 + -14a Reorder the terms: 8 + -14a + 3a2 = -8 + 8 + 14a + -14a Combine like terms: -8 + 8 = 0 8 + -14a + 3a2 = 0 + 14a + -14a 8 + -14a + 3a2 = 14a + -14a Combine like terms: 14a + -14a = 0 8 + -14a + 3a2 = 0 Factor a trinomial. (2 + -3a)(4 + -1a) = 0Subproblem 1
Set the factor '(2 + -3a)' equal to zero and attempt to solve: Simplifying 2 + -3a = 0 Solving 2 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = 0 + -2 -3a = 0 + -2 Combine like terms: 0 + -2 = -2 -3a = -2 Divide each side by '-3'. a = 0.6666666667 Simplifying a = 0.6666666667Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Solution
a = {0.6666666667, 4}
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