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Simplifying 35abc2 + -49ab2c = 0 Solving 35abc2 + -49ab2c = 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), '7abc'. 7abc(5c + -7b) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'abc' equal to zero and attempt to solve: Simplifying abc = 0 Solving abc = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abc = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5c + -7b)' equal to zero and attempt to solve: Simplifying 5c + -7b = 0 Reorder the terms: -7b + 5c = 0 Solving -7b + 5c = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. -7b + 7b + 5c = 0 + 7b Combine like terms: -7b + 7b = 0 0 + 5c = 0 + 7b 5c = 0 + 7b Remove the zero: 5c = 7b Add '-5c' to each side of the equation. 5c + -5c = 7b + -5c Combine like terms: 5c + -5c = 0 0 = 7b + -5c Simplifying 0 = 7b + -5c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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