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Simplifying 12ab + 4b + -4a + -6ba = 0 Reorder the terms: -4a + 12ab + -6ab + 4b = 0 Combine like terms: 12ab + -6ab = 6ab -4a + 6ab + 4b = 0 Solving -4a + 6ab + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. -4a + 6ab + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 -4a + 6ab + 0 = 0 + -4b -4a + 6ab = 0 + -4b Remove the zero: -4a + 6ab = -4b Combine like terms: -4b + 4b = 0 -4a + 6ab + 4b = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2a + 3ab + 2b) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2a + 3ab + 2b)' equal to zero and attempt to solve: Simplifying -2a + 3ab + 2b = 0 Solving -2a + 3ab + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. -2a + 3ab + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 -2a + 3ab + 0 = 0 + -2b -2a + 3ab = 0 + -2b Remove the zero: -2a + 3ab = -2b 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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