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Simplifying 10ab + -2a + 6b + -12 = 0 Reorder the terms: -12 + -2a + 10ab + 6b = 0 Solving -12 + -2a + 10ab + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -2a + 10ab + 12 + 6b = 0 + 12 Reorder the terms: -12 + 12 + -2a + 10ab + 6b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2a + 10ab + 6b = 0 + 12 -2a + 10ab + 6b = 0 + 12 Combine like terms: 0 + 12 = 12 -2a + 10ab + 6b = 12 Add '-6b' to each side of the equation. -2a + 10ab + 6b + -6b = 12 + -6b Combine like terms: 6b + -6b = 0 -2a + 10ab + 0 = 12 + -6b -2a + 10ab = 12 + -6b Reorder the terms: -12 + -2a + 10ab + 6b = 12 + -6b + -12 + 6b Reorder the terms: -12 + -2a + 10ab + 6b = 12 + -12 + -6b + 6b Combine like terms: 12 + -12 = 0 -12 + -2a + 10ab + 6b = 0 + -6b + 6b -12 + -2a + 10ab + 6b = -6b + 6b Combine like terms: -6b + 6b = 0 -12 + -2a + 10ab + 6b = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -1a + 5ab + 3b) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -1a + 5ab + 3b)' equal to zero and attempt to solve: Simplifying -6 + -1a + 5ab + 3b = 0 Solving -6 + -1a + 5ab + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1a + 5ab + 6 + 3b = 0 + 6 Reorder the terms: -6 + 6 + -1a + 5ab + 3b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1a + 5ab + 3b = 0 + 6 -1a + 5ab + 3b = 0 + 6 Combine like terms: 0 + 6 = 6 -1a + 5ab + 3b = 6 Add '-3b' to each side of the equation. -1a + 5ab + 3b + -3b = 6 + -3b Combine like terms: 3b + -3b = 0 -1a + 5ab + 0 = 6 + -3b -1a + 5ab = 6 + -3b 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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