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Simplifying 21ab + 3a + -6ab + -5abc + -20ab + 10a = 25a Reorder the terms: 3a + 10a + 21ab + -6ab + -20ab + -5abc = 25a Combine like terms: 3a + 10a = 13a 13a + 21ab + -6ab + -20ab + -5abc = 25a Combine like terms: 21ab + -6ab = 15ab 13a + 15ab + -20ab + -5abc = 25a Combine like terms: 15ab + -20ab = -5ab 13a + -5ab + -5abc = 25a Solving 13a + -5ab + -5abc = 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. 13a + -5ab + -25a + -5abc = 25a + -25a Reorder the terms: 13a + -25a + -5ab + -5abc = 25a + -25a Combine like terms: 13a + -25a = -12a -12a + -5ab + -5abc = 25a + -25a Combine like terms: 25a + -25a = 0 -12a + -5ab + -5abc = 0 Factor out the Greatest Common Factor (GCF), '-1a'. -1a(12 + 5b + 5bc) = 0 Ignore the factor -1.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 '(12 + 5b + 5bc)' equal to zero and attempt to solve: Simplifying 12 + 5b + 5bc = 0 Solving 12 + 5b + 5bc = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 5b + -12 + 5bc = 0 + -12 Reorder the terms: 12 + -12 + 5b + 5bc = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5b + 5bc = 0 + -12 5b + 5bc = 0 + -12 Combine like terms: 0 + -12 = -12 5b + 5bc = -12 Add '-5b' to each side of the equation. 5b + -5b + 5bc = -12 + -5b Combine like terms: 5b + -5b = 0 0 + 5bc = -12 + -5b 5bc = -12 + -5b Add '-5bc' to each side of the equation. 5bc + -5bc = -12 + -5b + -5bc Combine like terms: 5bc + -5bc = 0 0 = -12 + -5b + -5bc Simplifying 0 = -12 + -5b + -5bc 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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