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