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