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