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Simplifying (11a2 + -9a) + -1(9a2 + 7a) = 0 Reorder the terms: (-9a + 11a2) + -1(9a2 + 7a) = 0 Remove parenthesis around (-9a + 11a2) -9a + 11a2 + -1(9a2 + 7a) = 0 Reorder the terms: -9a + 11a2 + -1(7a + 9a2) = 0 -9a + 11a2 + (7a * -1 + 9a2 * -1) = 0 -9a + 11a2 + (-7a + -9a2) = 0 Reorder the terms: -9a + -7a + 11a2 + -9a2 = 0 Combine like terms: -9a + -7a = -16a -16a + 11a2 + -9a2 = 0 Combine like terms: 11a2 + -9a2 = 2a2 -16a + 2a2 = 0 Solving -16a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-8 + a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
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 = 8Solution
a = {0, 8}
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