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Simplifying 5a + 100a2 + 500a = 0 Reorder the terms: 5a + 500a + 100a2 = 0 Combine like terms: 5a + 500a = 505a 505a + 100a2 = 0 Solving 505a + 100a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(101 + 20a) = 0 Ignore the factor 5.Subproblem 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 '(101 + 20a)' equal to zero and attempt to solve: Simplifying 101 + 20a = 0 Solving 101 + 20a = 0 Move all terms containing a to the left, all other terms to the right. Add '-101' to each side of the equation. 101 + -101 + 20a = 0 + -101 Combine like terms: 101 + -101 = 0 0 + 20a = 0 + -101 20a = 0 + -101 Combine like terms: 0 + -101 = -101 20a = -101 Divide each side by '20'. a = -5.05 Simplifying a = -5.05Solution
a = {0, -5.05}
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