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