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Simplifying a2 + 8a + 16a = 0 Reorder the terms: 8a + 16a + a2 = 0 Combine like terms: 8a + 16a = 24a 24a + a2 = 0 Solving 24a + a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(24 + a) = 0Subproblem 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 '(24 + a)' equal to zero and attempt to solve: Simplifying 24 + a = 0 Solving 24 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + a = 0 + -24 a = 0 + -24 Combine like terms: 0 + -24 = -24 a = -24 Simplifying a = -24Solution
a = {0, -24}
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