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