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