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Simplifying (4x + -8)(9ab + 12) = 0 Reorder the terms: (-8 + 4x)(9ab + 12) = 0 Reorder the terms: (-8 + 4x)(12 + 9ab) = 0 Multiply (-8 + 4x) * (12 + 9ab) (-8(12 + 9ab) + 4x * (12 + 9ab)) = 0 ((12 * -8 + 9ab * -8) + 4x * (12 + 9ab)) = 0 ((-96 + -72ab) + 4x * (12 + 9ab)) = 0 (-96 + -72ab + (12 * 4x + 9ab * 4x)) = 0 Reorder the terms: (-96 + -72ab + (36abx + 48x)) = 0 (-96 + -72ab + (36abx + 48x)) = 0 (-96 + -72ab + 36abx + 48x) = 0 Solving -96 + -72ab + 36abx + 48x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '96' to each side of the equation. -96 + -72ab + 36abx + 96 + 48x = 0 + 96 Reorder the terms: -96 + 96 + -72ab + 36abx + 48x = 0 + 96 Combine like terms: -96 + 96 = 0 0 + -72ab + 36abx + 48x = 0 + 96 -72ab + 36abx + 48x = 0 + 96 Combine like terms: 0 + 96 = 96 -72ab + 36abx + 48x = 96 Add '-48x' to each side of the equation. -72ab + 36abx + 48x + -48x = 96 + -48x Combine like terms: 48x + -48x = 0 -72ab + 36abx + 0 = 96 + -48x -72ab + 36abx = 96 + -48x Reorder the terms: -96 + -72ab + 36abx + 48x = 96 + -48x + -96 + 48x Reorder the terms: -96 + -72ab + 36abx + 48x = 96 + -96 + -48x + 48x Combine like terms: 96 + -96 = 0 -96 + -72ab + 36abx + 48x = 0 + -48x + 48x -96 + -72ab + 36abx + 48x = -48x + 48x Combine like terms: -48x + 48x = 0 -96 + -72ab + 36abx + 48x = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-8 + -6ab + 3abx + 4x) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-8 + -6ab + 3abx + 4x)' equal to zero and attempt to solve: Simplifying -8 + -6ab + 3abx + 4x = 0 Solving -8 + -6ab + 3abx + 4x = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -6ab + 3abx + 8 + 4x = 0 + 8 Reorder the terms: -8 + 8 + -6ab + 3abx + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -6ab + 3abx + 4x = 0 + 8 -6ab + 3abx + 4x = 0 + 8 Combine like terms: 0 + 8 = 8 -6ab + 3abx + 4x = 8 Add '-4x' to each side of the equation. -6ab + 3abx + 4x + -4x = 8 + -4x Combine like terms: 4x + -4x = 0 -6ab + 3abx + 0 = 8 + -4x -6ab + 3abx = 8 + -4x 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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