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