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Simplifying a2 + 36a = 0 Reorder the terms: 36a + a2 = 0 Solving 36a + a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(36 + 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 '(36 + a)' equal to zero and attempt to solve: Simplifying 36 + a = 0 Solving 36 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + a = 0 + -36 a = 0 + -36 Combine like terms: 0 + -36 = -36 a = -36 Simplifying a = -36Solution
a = {0, -36}
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