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