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Simplifying 6abc2 + 12a2bc + -6ab + 3bc = 0 Reorder the terms: -6ab + 6abc2 + 12a2bc + 3bc = 0 Solving -6ab + 6abc2 + 12a2bc + 3bc = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(-2a + 2ac2 + 4a2c + c) = 0 Ignore the factor 3.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 + 2ac2 + 4a2c + c)' equal to zero and attempt to solve: Simplifying -2a + 2ac2 + 4a2c + c = 0 Solving -2a + 2ac2 + 4a2c + c = 0 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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