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Simplifying 9a = 6a(a + 4) Reorder the terms: 9a = 6a(4 + a) 9a = (4 * 6a + a * 6a) 9a = (24a + 6a2) Solving 9a = 24a + 6a2 Solving for variable 'a'. Combine like terms: 9a + -24a = -15a -15a + -6a2 = 24a + 6a2 + -24a + -6a2 Reorder the terms: -15a + -6a2 = 24a + -24a + 6a2 + -6a2 Combine like terms: 24a + -24a = 0 -15a + -6a2 = 0 + 6a2 + -6a2 -15a + -6a2 = 6a2 + -6a2 Combine like terms: 6a2 + -6a2 = 0 -15a + -6a2 = 0 Factor out the Greatest Common Factor (GCF), '-3a'. -3a(5 + 2a) = 0 Ignore the factor -3.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 '(5 + 2a)' equal to zero and attempt to solve: Simplifying 5 + 2a = 0 Solving 5 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 0 + -5 2a = 0 + -5 Combine like terms: 0 + -5 = -5 2a = -5 Divide each side by '2'. a = -2.5 Simplifying a = -2.5Solution
a = {0, -2.5}
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