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Simplifying 0 = a2 + 2a + 3a Reorder the terms: 0 = 2a + 3a + a2 Combine like terms: 2a + 3a = 5a 0 = 5a + a2 Solving 0 = 5a + a2 Solving for variable 'a'. Remove the zero: -5a + -1a2 = 5a + a2 + -5a + -1a2 Reorder the terms: -5a + -1a2 = 5a + -5a + a2 + -1a2 Combine like terms: 5a + -5a = 0 -5a + -1a2 = 0 + a2 + -1a2 -5a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -5a + -1a2 = 0 Factor out the Greatest Common Factor (GCF), '-1a'. -1a(5 + a) = 0 Ignore the factor -1.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 '(5 + a)' equal to zero and attempt to solve: Simplifying 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -5Solution
a = {0, -5}
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