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Simplifying 9a(3 + 2a) + -5a = 0 (3 * 9a + 2a * 9a) + -5a = 0 (27a + 18a2) + -5a = 0 Reorder the terms: 27a + -5a + 18a2 = 0 Combine like terms: 27a + -5a = 22a 22a + 18a2 = 0 Solving 22a + 18a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(11 + 9a) = 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 '(11 + 9a)' equal to zero and attempt to solve: Simplifying 11 + 9a = 0 Solving 11 + 9a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9a = 0 + -11 9a = 0 + -11 Combine like terms: 0 + -11 = -11 9a = -11 Divide each side by '9'. a = -1.222222222 Simplifying a = -1.222222222Solution
a = {0, -1.222222222}
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