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