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Simplifying 4a(2a + 8) = 0 Reorder the terms: 4a(8 + 2a) = 0 (8 * 4a + 2a * 4a) = 0 (32a + 8a2) = 0 Solving 32a + 8a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8a'. 8a(4 + a) = 0 Ignore the factor 8.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 '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4Solution
a = {0, -4}
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