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Simplifying -35abc + -14ab + 49bc = 0 Reorder the terms: -14ab + -35abc + 49bc = 0 Solving -14ab + -35abc + 49bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49bc' to each side of the equation. -14ab + -35abc + 49bc + -49bc = 0 + -49bc Combine like terms: 49bc + -49bc = 0 -14ab + -35abc + 0 = 0 + -49bc -14ab + -35abc = 0 + -49bc Remove the zero: -14ab + -35abc = -49bc Combine like terms: -49bc + 49bc = 0 -14ab + -35abc + 49bc = 0 Factor out the Greatest Common Factor (GCF), '7b'. 7b(-2a + -5ac + 7c) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(-2a + -5ac + 7c)' equal to zero and attempt to solve: Simplifying -2a + -5ac + 7c = 0 Solving -2a + -5ac + 7c = 0 Move all terms containing a to the left, all other terms to the right. Add '-7c' to each side of the equation. -2a + -5ac + 7c + -7c = 0 + -7c Combine like terms: 7c + -7c = 0 -2a + -5ac + 0 = 0 + -7c -2a + -5ac = 0 + -7c Remove the zero: -2a + -5ac = -7c 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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