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