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