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Simplifying 10a2 + 600a = 0 Reorder the terms: 600a + 10a2 = 0 Solving 600a + 10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '10a'. 10a(60 + a) = 0 Ignore the factor 10.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 '(60 + a)' equal to zero and attempt to solve: Simplifying 60 + a = 0 Solving 60 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + a = 0 + -60 Combine like terms: 60 + -60 = 0 0 + a = 0 + -60 a = 0 + -60 Combine like terms: 0 + -60 = -60 a = -60 Simplifying a = -60Solution
a = {0, -60}
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