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Simplifying 4a + 6a(a + 8) = 0 Reorder the terms: 4a + 6a(8 + a) = 0 4a + (8 * 6a + a * 6a) = 0 4a + (48a + 6a2) = 0 Combine like terms: 4a + 48a = 52a 52a + 6a2 = 0 Solving 52a + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(26 + 3a) = 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 '(26 + 3a)' equal to zero and attempt to solve: Simplifying 26 + 3a = 0 Solving 26 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 3a = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 3a = 0 + -26 3a = 0 + -26 Combine like terms: 0 + -26 = -26 3a = -26 Divide each side by '3'. a = -8.666666667 Simplifying a = -8.666666667Solution
a = {0, -8.666666667}
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