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