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Simplifying a2 + 40a = 0 Reorder the terms: 40a + a2 = 0 Solving 40a + a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(40 + 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 '(40 + a)' equal to zero and attempt to solve: Simplifying 40 + a = 0 Solving 40 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + a = 0 + -40 Combine like terms: 40 + -40 = 0 0 + a = 0 + -40 a = 0 + -40 Combine like terms: 0 + -40 = -40 a = -40 Simplifying a = -40Solution
a = {0, -40}
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