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