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Simplifying 3ab + -12a + 6b + -24 = 0 Reorder the terms: -24 + -12a + 3ab + 6b = 0 Solving -24 + -12a + 3ab + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -12a + 3ab + 24 + 6b = 0 + 24 Reorder the terms: -24 + 24 + -12a + 3ab + 6b = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -12a + 3ab + 6b = 0 + 24 -12a + 3ab + 6b = 0 + 24 Combine like terms: 0 + 24 = 24 -12a + 3ab + 6b = 24 Add '-6b' to each side of the equation. -12a + 3ab + 6b + -6b = 24 + -6b Combine like terms: 6b + -6b = 0 -12a + 3ab + 0 = 24 + -6b -12a + 3ab = 24 + -6b Reorder the terms: -24 + -12a + 3ab + 6b = 24 + -6b + -24 + 6b Reorder the terms: -24 + -12a + 3ab + 6b = 24 + -24 + -6b + 6b Combine like terms: 24 + -24 = 0 -24 + -12a + 3ab + 6b = 0 + -6b + 6b -24 + -12a + 3ab + 6b = -6b + 6b Combine like terms: -6b + 6b = 0 -24 + -12a + 3ab + 6b = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + -4a + ab + 2b) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + -4a + ab + 2b)' equal to zero and attempt to solve: Simplifying -8 + -4a + ab + 2b = 0 Solving -8 + -4a + ab + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -4a + ab + 8 + 2b = 0 + 8 Reorder the terms: -8 + 8 + -4a + ab + 2b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -4a + ab + 2b = 0 + 8 -4a + ab + 2b = 0 + 8 Combine like terms: 0 + 8 = 8 -4a + ab + 2b = 8 Add '-2b' to each side of the equation. -4a + ab + 2b + -2b = 8 + -2b Combine like terms: 2b + -2b = 0 -4a + ab + 0 = 8 + -2b -4a + ab = 8 + -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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