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Simplifying 5a + (3 + b) * a = 0 Reorder the terms for easier multiplication: 5a + a(3 + b) = 0 5a + (3 * a + b * a) = 0 5a + (3a + ab) = 0 Combine like terms: 5a + 3a = 8a 8a + ab = 0 Solving 8a + ab = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'a'. a(8 + b) = 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 '(8 + b)' equal to zero and attempt to solve: Simplifying 8 + b = 0 Solving 8 + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + b = 0 + -8 b = 0 + -8 Combine like terms: 0 + -8 = -8 b = -8 Add '-1b' to each side of the equation. b + -1b = -8 + -1b Combine like terms: b + -1b = 0 0 = -8 + -1b Simplifying 0 = -8 + -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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