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Simplifying 6ab + 24b + -12a + -48 = 0 Reorder the terms: -48 + -12a + 6ab + 24b = 0 Solving -48 + -12a + 6ab + 24b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48' to each side of the equation. -48 + -12a + 6ab + 48 + 24b = 0 + 48 Reorder the terms: -48 + 48 + -12a + 6ab + 24b = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -12a + 6ab + 24b = 0 + 48 -12a + 6ab + 24b = 0 + 48 Combine like terms: 0 + 48 = 48 -12a + 6ab + 24b = 48 Add '-24b' to each side of the equation. -12a + 6ab + 24b + -24b = 48 + -24b Combine like terms: 24b + -24b = 0 -12a + 6ab + 0 = 48 + -24b -12a + 6ab = 48 + -24b Reorder the terms: -48 + -12a + 6ab + 24b = 48 + -24b + -48 + 24b Reorder the terms: -48 + -12a + 6ab + 24b = 48 + -48 + -24b + 24b Combine like terms: 48 + -48 = 0 -48 + -12a + 6ab + 24b = 0 + -24b + 24b -48 + -12a + 6ab + 24b = -24b + 24b Combine like terms: -24b + 24b = 0 -48 + -12a + 6ab + 24b = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-8 + -2a + ab + 4b) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-8 + -2a + ab + 4b)' equal to zero and attempt to solve: Simplifying -8 + -2a + ab + 4b = 0 Solving -8 + -2a + ab + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -2a + ab + 8 + 4b = 0 + 8 Reorder the terms: -8 + 8 + -2a + ab + 4b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2a + ab + 4b = 0 + 8 -2a + ab + 4b = 0 + 8 Combine like terms: 0 + 8 = 8 -2a + ab + 4b = 8 Add '-4b' to each side of the equation. -2a + ab + 4b + -4b = 8 + -4b Combine like terms: 4b + -4b = 0 -2a + ab + 0 = 8 + -4b -2a + ab = 8 + -4b 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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