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Simplifying 6a2 + 8a = 8 Reorder the terms: 8a + 6a2 = 8 Solving 8a + 6a2 = 8 Solving for variable 'a'. Reorder the terms: -8 + 8a + 6a2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 8a + 6a2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 4a + 3a2) = 0 Factor a trinomial. 2((-2 + -1a)(2 + -3a)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 2
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 = 0.6666666667Solution
a = {-2, 0.6666666667}
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