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Simplifying a3 + 2a2b = 0 Reorder the terms: 2a2b + a3 = 0 Solving 2a2b + a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(2b + a) = 0Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 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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