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Simplifying a2 = -12a Solving a2 = -12a Solving for variable 'a'. Reorder the terms: 12a + a2 = -12a + 12a Combine like terms: -12a + 12a = 0 12a + a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(12 + 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 '(12 + a)' equal to zero and attempt to solve: Simplifying 12 + a = 0 Solving 12 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + a = 0 + -12 a = 0 + -12 Combine like terms: 0 + -12 = -12 a = -12 Simplifying a = -12Solution
a = {0, -12}
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