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Simplifying 25ab + 50ac + 200a = 0 Reorder the terms: 200a + 25ab + 50ac = 0 Solving 200a + 25ab + 50ac = 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), '25a'. 25a(8 + b + 2c) = 0 Ignore the factor 25.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 '(8 + b + 2c)' equal to zero and attempt to solve: Simplifying 8 + b + 2c = 0 Solving 8 + b + 2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + b + -8 + 2c = 0 + -8 Reorder the terms: 8 + -8 + b + 2c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + b + 2c = 0 + -8 b + 2c = 0 + -8 Combine like terms: 0 + -8 = -8 b + 2c = -8 Add '-1b' to each side of the equation. b + -1b + 2c = -8 + -1b Combine like terms: b + -1b = 0 0 + 2c = -8 + -1b 2c = -8 + -1b Add '-2c' to each side of the equation. 2c + -2c = -8 + -1b + -2c Combine like terms: 2c + -2c = 0 0 = -8 + -1b + -2c Simplifying 0 = -8 + -1b + -2c 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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