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Simplifying 6a2 = 16a + -8 Reorder the terms: 6a2 = -8 + 16a Solving 6a2 = -8 + 16a Solving for variable 'a'. Reorder the terms: 8 + -16a + 6a2 = -8 + 16a + 8 + -16a Reorder the terms: 8 + -16a + 6a2 = -8 + 8 + 16a + -16a Combine like terms: -8 + 8 = 0 8 + -16a + 6a2 = 0 + 16a + -16a 8 + -16a + 6a2 = 16a + -16a Combine like terms: 16a + -16a = 0 8 + -16a + 6a2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -8a + 3a2) = 0 Factor a trinomial. 2((2 + -3a)(2 + -1a)) = 0 Ignore the factor 2.Subproblem 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 '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 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 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2Solution
a = {0.6666666667, 2}
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