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Simplifying -2(a2 + -9a + 8) = 0 Reorder the terms: -2(8 + -9a + a2) = 0 (8 * -2 + -9a * -2 + a2 * -2) = 0 (-16 + 18a + -2a2) = 0 Solving -16 + 18a + -2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 9a + -1a2) = 0 Factor a trinomial. 2((-8 + a)(1 + -1a)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + a)' equal to zero and attempt to solve: Simplifying -8 + a = 0 Solving -8 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + a = 0 + 8 a = 0 + 8 Combine like terms: 0 + 8 = 8 a = 8 Simplifying a = 8Subproblem 2
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 = 1Solution
a = {8, 1}
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