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Simplifying 5ab + 10a + 20abc = 0 Reorder the terms: 10a + 5ab + 20abc = 0 Solving 10a + 5ab + 20abc = 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), '5a'. 5a(2 + b + 4bc) = 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 + 4bc)' equal to zero and attempt to solve: Simplifying 2 + b + 4bc = 0 Solving 2 + b + 4bc = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + b + -2 + 4bc = 0 + -2 Reorder the terms: 2 + -2 + b + 4bc = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b + 4bc = 0 + -2 b + 4bc = 0 + -2 Combine like terms: 0 + -2 = -2 b + 4bc = -2 Add '-1b' to each side of the equation. b + -1b + 4bc = -2 + -1b Combine like terms: b + -1b = 0 0 + 4bc = -2 + -1b 4bc = -2 + -1b Add '-4bc' to each side of the equation. 4bc + -4bc = -2 + -1b + -4bc Combine like terms: 4bc + -4bc = 0 0 = -2 + -1b + -4bc Simplifying 0 = -2 + -1b + -4bc 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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