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Simplifying 0 = 5ab + 10a Reorder the terms: 0 = 10a + 5ab Solving 0 = 10a + 5ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 0 + -10a = 10a + -10a + 5ab Remove the zero: -10a = 10a + -10a + 5ab Combine like terms: 10a + -10a = 0 -10a = 0 + 5ab -10a = 5ab Add '-5ab' to each side of the equation. -10a + -5ab = 5ab + -5ab Combine like terms: 5ab + -5ab = 0 -10a + -5ab = 0 Factor out the Greatest Common Factor (GCF), '-5a'. -5a(2 + b) = 0 Ignore the factor -5.Subproblem 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 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Add '-1b' to each side of the equation. b + -1b = -2 + -1b Combine like terms: b + -1b = 0 0 = -2 + -1b Simplifying 0 = -2 + -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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