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Simplifying 6a + -3ab + -7a + -1b + 2ab = 0 Reorder the terms: 6a + -7a + -3ab + 2ab + -1b = 0 Combine like terms: 6a + -7a = -1a -1a + -3ab + 2ab + -1b = 0 Combine like terms: -3ab + 2ab = -1ab -1a + -1ab + -1b = 0 Solving -1a + -1ab + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -1a + -1ab + -1b + b = 0 + b Combine like terms: -1b + b = 0 -1a + -1ab + 0 = 0 + b -1a + -1ab = 0 + b Remove the zero: -1a + -1ab = b Combine like terms: b + -1b = 0 -1a + -1ab + -1b = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(a + ab + b) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(a + ab + b)' equal to zero and attempt to solve: Simplifying a + ab + b = 0 Solving a + ab + 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 + ab + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + ab + 0 = 0 + -1b a + ab = 0 + -1b Remove the zero: a + ab = -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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